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129577140 = 223257119349
BaseRepresentation
bin1111011100100…
…11000010110100
3100000211012102100
413232103002310
5231132432030
620505142100
73132246630
oct756230264
9300735370
10129577140
1167163250
123748a930
1320acb184
14132cddc0
15b598360
hex7b930b4

129577140 has 144 divisors (see below), whose sum is σ = 490089600. Its totient is φ = 26922240.

The previous prime is 129577139. The next prime is 129577163. The reversal of 129577140 is 41775921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129577095 and 129577104.

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, 9186 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2129577140 is an apocalyptic number.

129577140 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 129577140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044800).

129577140 is an abundant number, since it is smaller than the sum of its proper divisors (360512460).

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

129577140 is a wasteful number, since it uses less digits than its factorization.

129577140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 129577140 is about 11383.1955091705. The cubic root of 129577140 is about 506.0298430013.

The spelling of 129577140 in words is "one hundred twenty-nine million, five hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 9349 13860 18698 28047 37396 46745 56094 65443 84141 93490 102839 112188 130886 140235 168282 186980 196329 205678 261772 280470 308517 327215 336564 392658 411356 420705 514195 560940 588987 617034 654430 719873 785316 841410 925551 981645 1028390 1177974 1234068 1308860 1439746 1542585 1682820 1851102 1963290 2056780 2159619 2355948 2879492 2944935 3085170 3599365 3702204 3926580 4319238 4627755 5889870 6170340 6478857 7198730 8638476 9255510 10798095 11779740 12957714 14397460 18511020 21596190 25915428 32394285 43192380 64788570 129577140