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129960376 = 237131710501
BaseRepresentation
bin1111011111100…
…00100110111000
3100001112200010021
413233300212320
5231232213001
620521300224
73135434140
oct757604670
9301480107
10129960376
11673a5177
1237634674
1320c03740
141338d920
15b621ba1
hex7bf09b8

129960376 has 64 divisors (see below), whose sum is σ = 317580480. Its totient is φ = 48384000.

The previous prime is 129960371. The next prime is 129960403. The reversal of 129960376 is 673069921.

It is a super-2 number, since 2×1299603762 = 33779398660122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129960371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7126 + ... + 17626.

It is an arithmetic number, because the mean of its divisors is an integer number (4962195).

Almost surely, 2129960376 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 129960376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158790240).

129960376 is an abundant number, since it is smaller than the sum of its proper divisors (187620104).

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

129960376 is a wasteful number, since it uses less digits than its factorization.

129960376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10544 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 129960376 is about 11400.0164912161. The cubic root of 129960376 is about 506.5282281823.

The spelling of 129960376 in words is "one hundred twenty-nine million, nine hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 10501 12376 21002 42004 73507 84008 136513 147014 178517 273026 294028 357034 546052 588056 714068 955591 1092104 1249619 1428136 1911182 2320721 2499238 3822364 4641442 4998476 7644728 9282884 9996952 16245047 18565768 32490094 64980188 129960376