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129727864 = 23721110979
BaseRepresentation
bin1111011101101…
…11110101111000
3100001002212011201
413232313311320
5231202242424
620512303544
73133445230
oct756676570
9301085151
10129727864
1167256512
1237541bb4
1320b51966
141332ccc0
15b5c7d44
hex7bb7d78

129727864 has 32 divisors (see below), whose sum is σ = 279331200. Its totient is φ = 55329120.

The previous prime is 129727841. The next prime is 129727909. The reversal of 129727864 is 468727921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6327 + ... + 17305.

It is an arithmetic number, because the mean of its divisors is an integer number (8729100).

Almost surely, 2129727864 is an apocalyptic number.

129727864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129727864 is an abundant number, since it is smaller than the sum of its proper divisors (149603336).

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

129727864 is a wasteful number, since it uses less digits than its factorization.

129727864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11199 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 129727864 is about 11389.8140458921. The cubic root of 129727864 is about 506.2259714450.

It can be divided in two parts, 1297 and 27864, that added together give a triangular number (29161 = T241).

The spelling of 129727864 in words is "one hundred twenty-nine million, seven hundred twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 211 422 844 1477 1688 2954 5908 10979 11816 21958 43916 76853 87832 153706 307412 614824 2316569 4633138 9266276 16215983 18532552 32431966 64863932 129727864