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10000872 = 2332719843
BaseRepresentation
bin100110001001…
…100111101000
3200211002121200
4212021213220
510030011442
6554204200
7151002030
oct46114750
920732550
1010000872
115710892
123423660
1320c209b
1414848c0
15d2834c
hex9899e8

10000872 has 48 divisors (see below), whose sum is σ = 30956640. Its totient is φ = 2857248.

The previous prime is 10000871. The next prime is 10000873. The reversal of 10000872 is 27800001.

It is an interprime number because it is at equal distance from previous prime (10000871) and next prime (10000873).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10000871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9418 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (644930).

Almost surely, 210000872 is an apocalyptic number.

10000872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000872 is an abundant number, since it is smaller than the sum of its proper divisors (20955768).

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

10000872 is a wasteful number, since it uses less digits than its factorization.

10000872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862 (or 19855 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10000872 is about 3162.4155324688. The cubic root of 10000872 is about 215.4497310447.

Adding to 10000872 its reverse (27800001), we get a palindrome (37800873).

The spelling of 10000872 in words is "ten million, eight hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 19843 39686 59529 79372 119058 138901 158744 178587 238116 277802 357174 416703 476232 555604 714348 833406 1111208 1250109 1428696 1666812 2500218 3333624 5000436 10000872