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152053125 = 35572331
BaseRepresentation
bin10010001000000…
…10010110000101
3101121010002200020
421010002112011
5302411200000
623031005353
73524300400
oct1104022605
9347102606
10152053125
1178914844
1242b09859
132566a583
14162a0d37
15d537ba0
hex9102585

152053125 has 72 divisors (see below), whose sum is σ = 295668576. Its totient is φ = 69300000.

The previous prime is 152053081. The next prime is 152053129. The reversal of 152053125 is 521350251.

It is a happy number.

It is not a de Polignac number, because 152053125 - 27 = 152052997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152053095 and 152053104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152053129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459210 + ... + 459540.

It is an arithmetic number, because the mean of its divisors is an integer number (4106508).

Almost surely, 2152053125 is an apocalyptic number.

152053125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152053125 is a deficient number, since it is larger than the sum of its proper divisors (143615451).

152053125 is an frugal number, since it uses more digits than its factorization.

152053125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152053125 is about 12330.9823209670. The cubic root of 152053125 is about 533.7424974310.

It can be divided in two parts, 1520 and 53125, that added together give a palindrome (54645).

The spelling of 152053125 in words is "one hundred fifty-two million, fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 331 375 525 625 735 875 993 1225 1655 1875 2317 2625 3125 3675 4375 4965 6125 6951 8275 9375 11585 13125 16219 18375 21875 24825 30625 34755 41375 48657 57925 65625 81095 91875 124125 153125 173775 206875 243285 289625 405475 459375 620625 868875 1034375 1216425 1448125 2027375 3103125 4344375 6082125 7240625 10136875 21721875 30410625 50684375 152053125