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996030 = 233571731
BaseRepresentation
bin11110011001010111110
31212121022000
43303022332
5223333110
633203130
711315610
oct3631276
91777260
10996030
11620372
124004a6
1328b489
141bcdb0
1514a1c0
hexf32be

996030 has 128 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 207360.

The previous prime is 996019. The next prime is 996049. The reversal of 996030 is 30699.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 995985 and 996003.

It is a congruent number.

It is an unprimeable number.

996030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32115 + ... + 32145.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2996030 is an apocalyptic number.

996030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 996030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880).

996030 is an abundant number, since it is smaller than the sum of its proper divisors (2321730).

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

996030 is a wasteful number, since it uses less digits than its factorization.

996030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 996030 is about 998.0130259671. The cubic root of 996030 is about 99.8674911583.

The spelling of 996030 in words is "nine hundred ninety-six thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 31 34 35 42 45 51 54 62 63 70 85 90 93 102 105 119 126 135 153 155 170 186 189 210 217 238 255 270 279 306 310 315 357 378 434 459 465 510 527 558 595 630 651 714 765 837 918 930 945 1054 1071 1085 1190 1302 1395 1530 1581 1674 1785 1890 1953 2142 2170 2295 2635 2790 3162 3213 3255 3570 3689 3906 4185 4590 4743 5270 5355 5859 6426 6510 7378 7905 8370 9486 9765 10710 11067 11718 14229 15810 16065 18445 19530 22134 23715 28458 29295 32130 33201 36890 47430 55335 58590 66402 71145 99603 110670 142290 166005 199206 332010 498015 996030