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9940032 = 263217257
BaseRepresentation
bin100101111010…
…110001000000
3200201000011100
4211322301000
510021040112
6553014400
7150326454
oct45726100
920630140
109940032
11567a103
1233b4400
1320a049b
14146a664
15d152dc
hex97ac40

9940032 has 42 divisors (see below), whose sum is σ = 28492958. Its totient is φ = 3313152.

The previous prime is 9940031. The next prime is 9940039. The reversal of 9940032 is 2300499.

It can be written as a sum of positive squares in only one way, i.e., 5875776 + 4064256 = 2424^2 + 2016^2 .

It is a super-2 number, since 2×99400322 = 197608472322048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9939978 and 9940005.

It is not an unprimeable number, because it can be changed into a prime (9940031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8053 + ... + 9204.

Almost surely, 29940032 is an apocalyptic number.

It is an amenable number.

9940032 is an abundant number, since it is smaller than the sum of its proper divisors (18552926).

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

9940032 is a wasteful number, since it uses less digits than its factorization.

9940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17275 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9940032 is about 3152.7816289746. The cubic root of 9940032 is about 215.0119481372.

The spelling of 9940032 in words is "nine million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17257 34514 51771 69028 103542 138056 155313 207084 276112 310626 414168 552224 621252 828336 1104448 1242504 1656672 2485008 3313344 4970016 9940032