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129961320 = 23357913709
BaseRepresentation
bin1111011111100…
…00110101101000
3100001112201102020
413233300311220
5231232230240
620521304440
73135436656
oct757606550
9301481366
10129961320
11673a5955
1237635120
1320c03cb8
141338ddd6
15b6220d0
hex7bf0d68

129961320 has 64 divisors (see below), whose sum is σ = 394848000. Its totient is φ = 34215168.

The previous prime is 129961319. The next prime is 129961327. The reversal of 129961320 is 23169921.

It is a super-2 number, since 2×1299613202 = 33779889392284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129961327) 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, 2626 + ... + 16334.

It is an arithmetic number, because the mean of its divisors is an integer number (6169500).

Almost surely, 2129961320 is an apocalyptic number.

129961320 is a gapful number since it is divisible by the number (10) 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 129961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424000).

129961320 is an abundant number, since it is smaller than the sum of its proper divisors (264886680).

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

129961320 is a wasteful number, since it uses less digits than its factorization.

129961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13802 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 129961320 is about 11400.0578945898. The cubic root of 129961320 is about 506.5294546112.

The spelling of 129961320 in words is "one hundred twenty-nine million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 13709 27418 41127 54836 68545 82254 109672 137090 164508 205635 274180 329016 411270 548360 822540 1083011 1645080 2166022 3249033 4332044 5415055 6498066 8664088 10830110 12996132 16245165 21660220 25992264 32490330 43320440 64980660 129961320