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129233970 = 2325371972
BaseRepresentation
bin1111011001111…
…11010000110010
3100000011202200100
413230333100302
5231040441340
620453533230
73126320265
oct754772062
9300152610
10129233970
1166a49438
1237344216
1320a0ac08
1413240cdc
15b52b830
hex7b3f432

129233970 has 72 divisors (see below), whose sum is σ = 346850244. Its totient is φ = 33360768.

The previous prime is 129233959. The next prime is 129233971. The reversal of 129233970 is 79332921.

It can be written as a sum of positive squares in 6 ways, for example, as 129208689 + 25281 = 11367^2 + 159^2 .

It is not an unprimeable number, because it can be changed into a prime (129233971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 655912 + ... + 656108.

Almost surely, 2129233970 is an apocalyptic number.

129233970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129233970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173425122).

129233970 is an abundant number, since it is smaller than the sum of its proper divisors (217616274).

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

129233970 is a wasteful number, since it uses less digits than its factorization.

129233970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 129233970 is about 11368.1119804478. Note that the first 3 decimals coincide. The cubic root of 129233970 is about 505.5827276428.

The spelling of 129233970 in words is "one hundred twenty-nine million, two hundred thirty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 197 222 333 370 394 555 591 666 985 1110 1182 1665 1773 1970 2955 3330 3546 5910 7289 8865 14578 17730 21867 36445 38809 43734 65601 72890 77618 109335 116427 131202 194045 218670 232854 328005 349281 388090 582135 656010 698562 1164270 1435933 1746405 2871866 3492810 4307799 7179665 8615598 12923397 14359330 21538995 25846794 43077990 64616985 129233970