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134472072 = 23372293943
BaseRepresentation
bin10000000001111…
…10000110001000
3100101000220000010
420000332012020
5233411101242
621202111520
73221664600
oct1000760610
9311026003
10134472072
11699a6949
123904b5a0
1321b23197
1413c05c00
15bc1389c
hex803e188

134472072 has 96 divisors (see below), whose sum is σ = 404654400. Its totient is φ = 37086336.

The previous prime is 134472071. The next prime is 134472073. The reversal of 134472072 is 270274431.

It is an interprime number because it is at equal distance from previous prime (134472071) and next prime (134472073).

It is not an unprimeable number, because it can be changed into a prime (134472071) 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, 32133 + ... + 36075.

It is an arithmetic number, because the mean of its divisors is an integer number (4215150).

Almost surely, 2134472072 is an apocalyptic number.

134472072 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 134472072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202327200).

134472072 is an abundant number, since it is smaller than the sum of its proper divisors (270182328).

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

134472072 is a wasteful number, since it uses less digits than its factorization.

134472072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 134472072 is about 11596.2093806554. The cubic root of 134472072 is about 512.3232110436.

The spelling of 134472072 in words is "one hundred thirty-four million, four hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 3943 4263 4872 5684 7886 8526 11368 11829 15772 17052 23658 27601 31544 34104 47316 55202 82803 94632 110404 114347 165606 193207 220808 228694 331212 343041 386414 457388 579621 662424 686082 772828 800429 914776 1159242 1372164 1545656 1600858 2318484 2401287 2744328 3201716 4636968 4802574 5603003 6403432 9605148 11206006 16809009 19210296 22412012 33618018 44824024 67236036 134472072