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129361540 = 225711167503
BaseRepresentation
bin1111011010111…
…10011010000100
3100000102020200011
413231132122010
5231104032130
620500400004
73130361230
oct755363204
9300366604
10129361540
1167026270
12373a6004
1320a53cb9
14132755c0
15b55452a
hex7b5e684

129361540 has 96 divisors (see below), whose sum is σ = 341397504. Its totient is φ = 39999360.

The previous prime is 129361513. The next prime is 129361553. The reversal of 129361540 is 45163921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256929 + ... + 257431.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 2129361540 is an apocalyptic number.

129361540 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 129361540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

129361540 is an abundant number, since it is smaller than the sum of its proper divisors (212035964).

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

129361540 is a wasteful number, since it uses less digits than its factorization.

129361540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 129361540 is about 11373.7214666089. The cubic root of 129361540 is about 505.7490306098.

The spelling of 129361540 in words is "one hundred twenty-nine million, three hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 167 220 308 334 385 503 668 770 835 1006 1169 1540 1670 1837 2012 2338 2515 3340 3521 3674 4676 5030 5533 5845 7042 7348 9185 10060 11066 11690 12859 14084 17605 18370 22132 23380 25718 27665 35210 36740 38731 51436 55330 64295 70420 77462 84001 110660 128590 154924 168002 193655 257180 336004 387310 420005 588007 774620 840010 924011 1176014 1680020 1848022 2352028 2940035 3696044 4620055 5880070 6468077 9240110 11760140 12936154 18480220 25872308 32340385 64680770 129361540