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129964212 = 223274710973
BaseRepresentation
bin1111011111100…
…01100010110100
3100001112212101100
413233301202310
5231232323322
620521330100
73135451260
oct757614264
9301485340
10129964212
11673a8044
1237636930
1320c05401
14133910a0
15b622dac
hex7bf18b4

129964212 has 72 divisors (see below), whose sum is σ = 383475456. Its totient is φ = 36339264.

The previous prime is 129964193. The next prime is 129964213. The reversal of 129964212 is 212469921.

129964212 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 642 + 1 + 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 (129964213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6358 + ... + 17330.

It is an arithmetic number, because the mean of its divisors is an integer number (5326048).

Almost surely, 2129964212 is an apocalyptic number.

129964212 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 129964212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191737728).

129964212 is an abundant number, since it is smaller than the sum of its proper divisors (253511244).

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

129964212 is a wasteful number, since it uses less digits than its factorization.

129964212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11032 counting only the distinct ones).

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

The square root of 129964212 is about 11400.1847353453. The cubic root of 129964212 is about 506.5332118120.

The spelling of 129964212 in words is "one hundred twenty-nine million, nine hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 10973 11844 21946 32919 43892 65838 76811 98757 131676 153622 197514 230433 307244 395028 460866 515731 691299 921732 1031462 1382598 1547193 2062924 2765196 3094386 3610117 4641579 6188772 7220234 9283158 10830351 14440468 18566316 21660702 32491053 43321404 64982106 129964212