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134385072 = 2432923329
BaseRepresentation
bin10000000001010…
…00110110110000
3100100212110122220
420000220312300
5233400310242
621200201040
73221153133
oct1000506660
9310773586
10134385072
1169947548
1239009180
1321ac26c3
1413bc221a
15bbe7bec
hex8028db0

134385072 has 60 divisors (see below), whose sum is σ = 359653320. Its totient is φ = 43237376.

The previous prime is 134385029. The next prime is 134385089. The reversal of 134385072 is 270583431.

134385072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38704 + ... + 42032.

It is an arithmetic number, because the mean of its divisors is an integer number (5994222).

Almost surely, 2134385072 is an apocalyptic number.

134385072 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 134385072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179826660).

134385072 is an abundant number, since it is smaller than the sum of its proper divisors (225268248).

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

134385072 is a wasteful number, since it uses less digits than its factorization.

134385072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 134385072 is about 11592.4575479059. The cubic root of 134385072 is about 512.2127005252.

The spelling of 134385072 in words is "one hundred thirty-four million, three hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1682 2523 3329 3364 5046 6658 6728 9987 10092 13316 13456 19974 20184 26632 39948 40368 53264 79896 96541 159792 193082 289623 386164 579246 772328 1158492 1544656 2316984 2799689 4633968 5599378 8399067 11198756 16798134 22397512 33596268 44795024 67192536 134385072