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1671000030 = 234571915511
BaseRepresentation
bin110001110011001…
…0110111111011110
311022110021121010000
41203212112333132
511410234000110
6433451155130
756260160130
oct14346267736
94273247100
101671000030
11788266067
123a7745aa6
1320826481b
1411bcd7050
159ba761c0
hex63996fde

1671000030 has 160 divisors (see below), whose sum is σ = 5405621760. Its totient is φ = 361817280.

The previous prime is 1671000013. The next prime is 1671000047. The reversal of 1671000030 is 300001761.

It is an interprime number because it is at equal distance from previous prime (1671000013) and next prime (1671000047).

It is a super-2 number, since 2×16710000302 = 5584482200520001800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1670999967 and 1671000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99975 + ... + 115485.

It is an arithmetic number, because the mean of its divisors is an integer number (33785136).

Almost surely, 21671000030 is an apocalyptic number.

1671000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1671000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702810880).

1671000030 is an abundant number, since it is smaller than the sum of its proper divisors (3734621730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1671000030 is a wasteful number, since it uses less digits than its factorization.

1671000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15556 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1671000030 is about 40877.8672388861. The cubic root of 1671000030 is about 1186.6577662962.

Adding to 1671000030 its reverse (300001761), we get a palindrome (1971001791).

The spelling of 1671000030 in words is "one billion, six hundred seventy-one million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1330 1539 1710 1890 1995 2394 2565 2835 3078 3591 3990 5130 5670 5985 7182 7695 10773 11970 15390 15511 17955 21546 31022 35910 46533 53865 77555 93066 107730 108577 139599 155110 217154 232665 279198 294709 325731 418797 465330 542885 589418 651462 697995 837594 884127 977193 1085770 1256391 1395990 1473545 1628655 1768254 1954386 2062963 2093985 2512782 2652381 2931579 2947090 3257310 4125926 4187970 4420635 4885965 5304762 5863158 6188889 6281955 7957143 8794737 8841270 9771930 10314815 12377778 12563910 13261905 14657895 15914286 17589474 18566667 20629630 23871429 26523810 29315790 30944445 37133334 39785715 43973685 47742858 55700001 61888890 79571430 87947370 92833335 111400002 119357145 167100003 185666670 238714290 278500005 334200006 557000010 835500015 1671000030