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129806952 = 233113797137
BaseRepresentation
bin1111011110010…
…11001001101000
3100001020212122220
413233023021220
5231212310302
620514114040
73134224632
oct757131150
9301225586
10129806952
11672aa980
123757b920
1320b7b962
141334da52
15b5e14bc
hex7bcb268

129806952 has 128 divisors (see below), whose sum is σ = 370016640. Its totient is φ = 37601280.

The previous prime is 129806947. The next prime is 129806953. The reversal of 129806952 is 259608921.

It is not an unprimeable number, because it can be changed into a prime (129806953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947428 + ... + 947564.

It is an arithmetic number, because the mean of its divisors is an integer number (2890755).

Almost surely, 2129806952 is an apocalyptic number.

129806952 is a gapful number since it is divisible by the number (12) 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 129806952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

129806952 is an abundant number, since it is smaller than the sum of its proper divisors (240209688).

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

129806952 is a wasteful number, since it uses less digits than its factorization.

129806952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 129806952 is about 11393.2853909660. The cubic root of 129806952 is about 506.3288233309.

The spelling of 129806952 in words is "one hundred twenty-nine million, eight hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 97 111 132 137 148 194 222 264 274 291 296 388 407 411 444 548 582 776 814 822 888 1067 1096 1164 1221 1507 1628 1644 2134 2328 2442 3014 3201 3256 3288 3589 4268 4521 4884 5069 6028 6402 7178 8536 9042 9768 10138 10767 12056 12804 13289 14356 15207 18084 20276 21534 25608 26578 28712 30414 36168 39479 39867 40552 43068 53156 55759 60828 78958 79734 86136 106312 111518 118437 121656 146179 157916 159468 167277 223036 236874 292358 315832 318936 334554 438537 446072 473748 491693 584716 669108 877074 947496 983386 1169432 1338216 1475079 1754148 1966772 2950158 3508296 3933544 5408623 5900316 10817246 11800632 16225869 21634492 32451738 43268984 64903476 129806952