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31420620 = 223257112267
BaseRepresentation
bin111011111011…
…1000011001100
32012010022222200
41313313003030
531020424440
63041241500
7531033210
oct167670314
965108880
1031420620
1116810860
12a633290
1366817aa
14425c940
152b59c30
hex1df70cc

31420620 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 6526080.

The previous prime is 31420619. The next prime is 31420621. The reversal of 31420620 is 2602413.

It is a happy number.

31420620 is a `hidden beast` number, since 3 + 1 + 42 + 0 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (31420619) and next prime (31420621).

It is a super-2 number, since 2×314206202 = 1974510722368800, 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 = 31420593 and 31420602.

It is not an unprimeable number, because it can be changed into a prime (31420621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12727 + ... + 14993.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 231420620 is an apocalyptic number.

31420620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

31420620 is an abundant number, since it is smaller than the sum of its proper divisors (87458868).

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

31420620 is a wasteful number, since it uses less digits than its factorization.

31420620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31420620 is about 5605.4098868861. The cubic root of 31420620 is about 315.5524696260.

The spelling of 31420620 in words is "thirty-one million, four hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2267 2310 2772 3465 4534 4620 6801 6930 9068 11335 13602 13860 15869 20403 22670 24937 27204 31738 34005 40806 45340 47607 49874 63476 68010 74811 79345 81612 95214 99748 102015 124685 136020 142821 149622 158690 174559 190428 204030 224433 238035 249370 285642 299244 317380 349118 374055 408060 448866 476070 498740 523677 571284 698236 714105 748110 872795 897732 952140 1047354 1122165 1428210 1496220 1571031 1745590 2094708 2244330 2618385 2856420 3142062 3491180 4488660 5236770 6284124 7855155 10473540 15710310 31420620