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153074088 = 23322126029
BaseRepresentation
bin10010001111110…
…11100110101000
3101200000222011200
421013323212220
5303141332323
623104524200
73536052066
oct1107734650
9350028150
10153074088
1179451912
1243320660
13259371ab
1416489036
15d68a443
hex91fb9a8

153074088 has 24 divisors (see below), whose sum is σ = 414575850. Its totient is φ = 51024672.

The previous prime is 153074059. The next prime is 153074111. The reversal of 153074088 is 880470351.

153074088 is a `hidden beast` number, since 1 + 530 + 7 + 40 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151733124 + 1340964 = 12318^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062943 + ... + 1063086.

Almost surely, 2153074088 is an apocalyptic number.

153074088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153074088 is an abundant number, since it is smaller than the sum of its proper divisors (261501762).

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

153074088 is a wasteful number, since it uses less digits than its factorization.

153074088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126041 (or 2126034 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 153074088 is about 12372.3113442881. The cubic root of 153074088 is about 534.9344409724.

The spelling of 153074088 in words is "one hundred fifty-three million, seventy-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2126029 4252058 6378087 8504116 12756174 17008232 19134261 25512348 38268522 51024696 76537044 153074088