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129737920 = 2651322399
BaseRepresentation
bin1111011101110…
…10010011000000
3100001010100222011
413232322103000
5231203103140
620512422304
73133516444
oct756722300
9301110864
10129737920
1167263024
1237547994
1320b56400
1413332824
15b5cacea
hex7bba4c0

129737920 has 84 divisors (see below), whose sum is σ = 334670400. Its totient is φ = 47883264.

The previous prime is 129737891. The next prime is 129737921. The reversal of 129737920 is 29737921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129737921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52881 + ... + 55279.

Almost surely, 2129737920 is an apocalyptic number.

129737920 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 129737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167335200).

129737920 is an abundant number, since it is smaller than the sum of its proper divisors (204932480).

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

129737920 is a wasteful number, since it uses less digits than its factorization.

129737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 129737920 is about 11390.2554844042. The cubic root of 129737920 is about 506.2390513306.

Subtracting from 129737920 its reverse (29737921), we obtain a palindrome (99999999).

The spelling of 129737920 in words is "one hundred twenty-nine million, seven hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2399 2704 3380 4160 4798 5408 6760 9596 10816 11995 13520 19192 23990 27040 31187 38384 47980 54080 62374 76768 95960 124748 153536 155935 191920 249496 311870 383840 405431 498992 623740 767680 810862 997984 1247480 1621724 1995968 2027155 2494960 3243448 4054310 4989920 6486896 8108620 9979840 12973792 16217240 25947584 32434480 64868960 129737920