Search a number
-
+
129707136 = 2733132887
BaseRepresentation
bin1111011101100…
…10110010000000
3100001001210202000
413232302302000
5231201112021
620512024000
73133330626
oct756626200
9301053660
10129707136
1167241989
1237532000
1320b453b0
1413325516
15b5c1b26
hex7bb2c80

129707136 has 128 divisors (see below), whose sum is σ = 412406400. Its totient is φ = 39896064.

The previous prime is 129707113. The next prime is 129707141. The reversal of 129707136 is 631707921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1297071362 = 33647882258644992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129707136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43485 + ... + 46371.

It is an arithmetic number, because the mean of its divisors is an integer number (3221925).

Almost surely, 2129707136 is an apocalyptic number.

129707136 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 129707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206203200).

129707136 is an abundant number, since it is smaller than the sum of its proper divisors (282699264).

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

129707136 is a wasteful number, since it uses less digits than its factorization.

129707136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 129707136 is about 11388.9040737026. The cubic root of 129707136 is about 506.1990083071.

The spelling of 129707136 in words is "one hundred twenty-nine million, seven hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 2887 3456 3744 4992 5616 5774 7488 8661 11232 11548 14976 17322 22464 23096 25983 34644 37531 44928 46192 51966 69288 75062 77949 92384 103932 112593 138576 150124 155898 184768 207864 225186 277152 300248 311796 337779 369536 415728 450372 554304 600496 623592 675558 831456 900744 1013337 1108608 1200992 1247184 1351116 1662912 1801488 2026674 2401984 2494368 2702232 3325824 3602976 4053348 4803968 4988736 5404464 7205952 8106696 9977472 10808928 14411904 16213392 21617856 32426784 43235712 64853568 129707136