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129850896 = 243717127179
BaseRepresentation
bin1111011110101…
…01111000010000
3100001100002221110
413233111320100
5231220212041
620515053320
73134500020
oct757257020
9301302843
10129850896
116732a99a
12375a1240
1320b95966
1413361a80
15b5ee516
hex7bd5e10

129850896 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 34449408.

The previous prime is 129850849. The next prime is 129850949. The reversal of 129850896 is 698058921.

It is a happy number.

It is a super-2 number, since 2×1298508962 = 33722510384005632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 725335 + ... + 725513.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2129850896 is an apocalyptic number.

129850896 is a gapful number since it is divisible by the number (16) 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 129850896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

129850896 is an abundant number, since it is smaller than the sum of its proper divisors (281551344).

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

129850896 is a wasteful number, since it uses less digits than its factorization.

129850896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 129850896 is about 11395.2137320895. The cubic root of 129850896 is about 506.3859533051.

The spelling of 129850896 in words is "one hundred twenty-nine million, eight hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 127 136 168 179 204 238 254 272 336 357 358 381 408 476 508 537 714 716 762 816 889 952 1016 1074 1253 1428 1432 1524 1778 1904 2032 2148 2159 2506 2667 2856 2864 3043 3048 3556 3759 4296 4318 5012 5334 5712 6086 6096 6477 7112 7518 8592 8636 9129 10024 10668 12172 12954 14224 15036 15113 17272 18258 20048 21301 21336 22733 24344 25908 30072 30226 34544 36516 42602 42672 45339 45466 48688 51816 60144 60452 63903 68199 73032 85204 90678 90932 103632 120904 127806 136398 146064 159131 170408 181356 181864 241808 255612 272796 318262 340816 362712 363728 386461 477393 511224 545592 636524 725424 772922 954786 1022448 1091184 1159383 1273048 1545844 1909572 2318766 2546096 2705227 3091688 3819144 4637532 5410454 6183376 7638288 8115681 9275064 10820908 16231362 18550128 21641816 32462724 43283632 64925448 129850896