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152075300 = 225213116981
BaseRepresentation
bin10010001000001…
…11110000100100
3101121011020002112
421010013300210
5302412402200
623031300152
73524422136
oct1104076044
9347136075
10152075300
117892a473
1242b1a658
13256776b0
14162a9056
15d53e535
hex9107c24

152075300 has 36 divisors (see below), whose sum is σ = 355391316. Its totient is φ = 56150400.

The previous prime is 152075269. The next prime is 152075303. The reversal of 152075300 is 3570251.

It can be written as a sum of positive squares in 6 ways, for example, as 51955264 + 100120036 = 7208^2 + 10006^2 .

It is a super-3 number, since 3×1520753003 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152075303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57191 + ... + 59790.

It is an arithmetic number, because the mean of its divisors is an integer number (9871981).

Almost surely, 2152075300 is an apocalyptic number.

152075300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152075300 is an abundant number, since it is smaller than the sum of its proper divisors (203316016).

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

152075300 is a wasteful number, since it uses less digits than its factorization.

152075300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117008 (or 117001 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 152075300 is about 12331.8814460730. The cubic root of 152075300 is about 533.7684426713.

The spelling of 152075300 in words is "one hundred fifty-two million, seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 116981 233962 467924 584905 1169810 1520753 2339620 2924525 3041506 5849050 6083012 7603765 11698100 15207530 30415060 38018825 76037650 152075300