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24139136 = 27729929
BaseRepresentation
bin101110000010…
…1010110000000
31200102101200002
41130011112000
522134423021
62221215132
7412115330
oct134052600
950371602
1024139136
11126980aa
1281014a8
135002418
1432c50c0
1521bc50b
hex1705580

24139136 has 64 divisors (see below), whose sum is σ = 56916000. Its totient is φ = 9977856.

The previous prime is 24139127. The next prime is 24139169. The reversal of 24139136 is 63193142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 24139099 and 24139108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25520 + ... + 26448.

Almost surely, 224139136 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 24139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458000).

24139136 is an abundant number, since it is smaller than the sum of its proper divisors (32776864).

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

24139136 is an equidigital number, since it uses as much as digits as its factorization.

24139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 24139136 is about 4913.1594722744. The cubic root of 24139136 is about 289.0062537809.

The spelling of 24139136 in words is "twenty-four million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 929 1624 1856 1858 3248 3712 3716 6496 6503 7432 12992 13006 14864 25984 26012 26941 29728 52024 53882 59456 104048 107764 118912 188587 208096 215528 377174 416192 431056 754348 832384 862112 1508696 1724224 3017392 3448448 6034784 12069568 24139136