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29929120 = 2551314389
BaseRepresentation
bin111001000101…
…0111010100000
32002022120000221
41302022322200
530130212440
62545252424
7512251624
oct162127240
962276027
1029929120
1115992211
12a034114
13627b950
143d91184
152962d4a
hex1c8aea0

29929120 has 48 divisors (see below), whose sum is σ = 76151880. Its totient is φ = 11049984.

The previous prime is 29929099. The next prime is 29929169. The reversal of 29929120 is 2192992.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 14531344 = 3924^2 + 3812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5115 + ... + 9274.

Almost surely, 229929120 is an apocalyptic number.

29929120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29929120 is an abundant number, since it is smaller than the sum of its proper divisors (46222760).

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

29929120 is a wasteful number, since it uses less digits than its factorization.

29929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 29929120 is about 5470.7513195173. The cubic root of 29929120 is about 310.4783457956.

The spelling of 29929120 in words is "twenty-nine million, nine hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 14389 28778 57556 71945 115112 143890 187057 230224 287780 374114 460448 575560 748228 935285 1151120 1496456 1870570 2302240 2992912 3741140 5985824 7482280 14964560 29929120