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129977472 = 273595737
BaseRepresentation
bin1111011111101…
…00110010000000
3100001120112120110
413233310302000
5231233234342
620521511320
73135535032
oct757646200
9301515513
10129977472
1167406aa9
1237642540
1320c0b461
1413395c52
15b626c9c
hex7bf4c80

129977472 has 64 divisors (see below), whose sum is σ = 351165600. Its totient is φ = 42584064.

The previous prime is 129977467. The next prime is 129977479. The reversal of 129977472 is 274779921.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (129977479) 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, 19788 + ... + 25524.

Almost surely, 2129977472 is an apocalyptic number.

129977472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175582800).

129977472 is an abundant number, since it is smaller than the sum of its proper divisors (221188128).

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

129977472 is an equidigital number, since it uses as much as digits as its factorization.

129977472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The square root of 129977472 is about 11400.7662900351. The cubic root of 129977472 is about 506.5504380978.

The spelling of 129977472 in words is "one hundred twenty-nine million, nine hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 5737 7552 11328 11474 17211 22656 22948 34422 45896 68844 91792 137688 183584 275376 338483 367168 550752 676966 734336 1015449 1101504 1353932 2030898 2203008 2707864 4061796 5415728 8123592 10831456 16247184 21662912 32494368 43325824 64988736 129977472