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129912832 = 212723197
BaseRepresentation
bin1111011111001…
…01000000000000
3100001110020220101
413233211000000
5231224202312
620520252144
73135145420
oct757450000
9301406811
10129912832
1167372485
1237611054
1320bb7bca
141337a480
15b612a57
hex7be5000

129912832 has 104 divisors (see below), whose sum is σ = 311389056. Its totient is φ = 52985856.

The previous prime is 129912817. The next prime is 129912833. The reversal of 129912832 is 238219921.

It is a junction number, because it is equal to n+sod(n) for n = 129912791 and 129912800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129912833) 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 7 ways as a sum of consecutive naturals, for example, 659358 + ... + 659554.

Almost surely, 2129912832 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 129912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155694528).

129912832 is an abundant number, since it is smaller than the sum of its proper divisors (181476224).

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

129912832 is an equidigital number, since it uses as much as digits as its factorization.

129912832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 129912832 is about 11397.9310403248. The cubic root of 129912832 is about 506.4664521340.

The spelling of 129912832 in words is "one hundred twenty-nine million, nine hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 197 224 256 322 368 394 448 512 644 736 788 896 1024 1288 1379 1472 1576 1792 2048 2576 2758 2944 3152 3584 4096 4531 5152 5516 5888 6304 7168 9062 10304 11032 11776 12608 14336 18124 20608 22064 23552 25216 28672 31717 36248 41216 44128 47104 50432 63434 72496 82432 88256 94208 100864 126868 144992 164864 176512 201728 253736 289984 329728 353024 403456 507472 579968 659456 706048 806912 1014944 1159936 1412096 2029888 2319872 2824192 4059776 4639744 5648384 8119552 9279488 16239104 18558976 32478208 64956416 129912832