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10000272 = 2431571327
BaseRepresentation
bin100110001001…
…011110010000
3200211001210110
4212021132100
510030002042
6554201320
7151000212
oct46113620
920731713
1010000272
115710397
123423240
1320c1a29
1414845b2
15d2809c
hex989790

10000272 has 40 divisors (see below), whose sum is σ = 26018176. Its totient is φ = 3309696.

The previous prime is 10000271. The next prime is 10000303. The reversal of 10000272 is 27200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10000271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6873 + ... + 8199.

Almost surely, 210000272 is an apocalyptic number.

10000272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000272 is an abundant number, since it is smaller than the sum of its proper divisors (16017904).

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

10000272 is a wasteful number, since it uses less digits than its factorization.

10000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10000272 is about 3162.3206668521. The cubic root of 10000272 is about 215.4454223396.

Adding to 10000272 its reverse (27200001), we get a palindrome (37200273).

The spelling of 10000272 in words is "ten million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1327 1884 2512 2654 3768 3981 5308 7536 7962 10616 15924 21232 31848 63696 208339 416678 625017 833356 1250034 1666712 2500068 3333424 5000136 10000272