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10129224 = 233760293
BaseRepresentation
bin100110101000…
…111101001000
3201001121200110
4212220331020
510043113344
61001034320
7152045160
oct46507510
921047613
1010129224
115799266
1234859a0
132138631
1414b95a0
15d513b9
hex9a8f48

10129224 has 32 divisors (see below), whose sum is σ = 28941120. Its totient is φ = 2894016.

The previous prime is 10129213. The next prime is 10129253. The reversal of 10129224 is 42292101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10129224.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29979 + ... + 30314.

It is an arithmetic number, because the mean of its divisors is an integer number (904410).

Almost surely, 210129224 is an apocalyptic number.

10129224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10129224 is an abundant number, since it is smaller than the sum of its proper divisors (18811896).

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

10129224 is a wasteful number, since it uses less digits than its factorization.

10129224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60309 (or 60305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10129224 is about 3182.6441836938. The cubic root of 10129224 is about 216.3675156212.

The spelling of 10129224 in words is "ten million, one hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 60293 120586 180879 241172 361758 422051 482344 723516 844102 1266153 1447032 1688204 2532306 3376408 5064612 10129224