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9972036 = 22321961239
BaseRepresentation
bin100110000010…
…100101000100
3200202122001200
4212002211010
510023101121
6553422500
7150521664
oct46024504
920678050
109972036
1156a1158
12340aa30
1320b1c19
1414781a4
15d1ea26
hex982944

9972036 has 72 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 3084480.

The previous prime is 9972029. The next prime is 9972043. The reversal of 9972036 is 6302799.

It is an interprime number because it is at equal distance from previous prime (9972029) and next prime (9972043).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41605 + ... + 41843.

Almost surely, 29972036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

9972036 is an abundant number, since it is smaller than the sum of its proper divisors (17109564).

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

9972036 is a wasteful number, since it uses less digits than its factorization.

9972036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9972036 is about 3157.8530681461. The cubic root of 9972036 is about 215.2424594800.

The spelling of 9972036 in words is "nine million, nine hundred seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 239 244 342 366 478 549 684 717 732 956 1098 1159 1434 2151 2196 2318 2868 3477 4302 4541 4636 6954 8604 9082 10431 13623 13908 14579 18164 20862 27246 29158 40869 41724 43737 54492 58316 81738 87474 131211 163476 174948 262422 277001 524844 554002 831003 1108004 1662006 2493009 3324012 4986018 9972036