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129465990 = 232579131139
BaseRepresentation
bin1111011011101…
…11111010000110
3100000121112221200
413231313322012
5231120402430
620502523330
73131304603
oct755677206
9300545850
10129465990
1167097795
1237436546
1320a8c6c4
14132a16aa
15b575460
hex7b77e86

129465990 has 96 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 33583680.

The previous prime is 129465979. The next prime is 129466009. The reversal of 129465990 is 99564921.

129465990 is a `hidden beast` number, since 12 + 9 + 46 + 599 + 0 = 666.

It is a super-2 number, since 2×1294659902 = 33522885133360200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931341 + ... + 931479.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2129465990 is an apocalyptic number.

129465990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129465990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

129465990 is an abundant number, since it is smaller than the sum of its proper divisors (216479610).

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

129465990 is a wasteful number, since it uses less digits than its factorization.

129465990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 129465990 is about 11378.3122650066. The cubic root of 129465990 is about 505.8851124649.

The spelling of 129465990 in words is "one hundred twenty-nine million, four hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 131 139 158 237 262 278 393 395 417 474 655 695 711 786 790 834 1179 1185 1251 1310 1390 1422 1965 2085 2358 2370 2502 3555 3930 4170 5895 6255 7110 10349 10981 11790 12510 18209 20698 21962 31047 32943 36418 51745 54627 54905 62094 65886 91045 93141 98829 103490 109254 109810 155235 163881 164715 182090 186282 197658 273135 310470 327762 329430 465705 494145 546270 819405 931410 988290 1438511 1638810 2877022 4315533 7192555 8631066 12946599 14385110 21577665 25893198 43155330 64732995 129465990