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129296412 = 2235731613
BaseRepresentation
bin1111011010011…
…10100000011100
3100000021221100000
413231032200130
5231044441122
620455134300
73130000320
oct755164034
9300257300
10129296412
1166a91343
1237374390
1320a3046b
1413259980
15b5400ac
hex7b4e81c

129296412 has 144 divisors (see below), whose sum is σ = 400504832. Its totient is φ = 35691840.

The previous prime is 129296351. The next prime is 129296417. The reversal of 129296412 is 214692921.

129296412 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 9 + 641 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129296417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210618 + ... + 211230.

Almost surely, 2129296412 is an apocalyptic number.

129296412 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 129296412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200252416).

129296412 is an abundant number, since it is smaller than the sum of its proper divisors (271208420).

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

129296412 is a wasteful number, since it uses less digits than its factorization.

129296412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 129296412 is about 11370.8580151192. The cubic root of 129296412 is about 505.6641420303.

The spelling of 129296412 in words is "one hundred twenty-nine million, two hundred ninety-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 613 651 756 837 868 972 1116 1134 1226 1302 1674 1701 1839 1953 2268 2452 2511 2604 3348 3402 3678 3906 4291 5022 5517 5859 6804 7356 7533 7812 8582 10044 11034 11718 12873 15066 16551 17164 17577 19003 22068 23436 25746 30132 33102 35154 38006 38619 49653 51492 52731 57009 66204 70308 76012 77238 99306 105462 114018 115857 133021 148959 154476 171027 198612 210924 228036 231714 266042 297918 342054 347571 399063 463428 513081 532084 595836 684108 695142 798126 1026162 1042713 1197189 1390284 1539243 1596252 2052324 2085426 2394378 3078486 3591567 4170852 4617729 4788756 6156972 7183134 9235458 10774701 14366268 18470916 21549402 32324103 43098804 64648206 129296412