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152439090 = 23519318627
BaseRepresentation
bin10010001011000…
…00100100110010
3101121211201010020
421011200210302
5303011022330
623043144310
73530465556
oct1105404462
9347751106
10152439090
1179058821
1243075096
132577415b
1416361866
15d5b2210
hex9160932

152439090 has 64 divisors (see below), whose sum is σ = 397578240. Its totient is φ = 37264320.

The previous prime is 152439043. The next prime is 152439113. The reversal of 152439090 is 90934251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13357 + ... + 21983.

It is an arithmetic number, because the mean of its divisors is an integer number (6212160).

Almost surely, 2152439090 is an apocalyptic number.

152439090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152439090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198789120).

152439090 is an abundant number, since it is smaller than the sum of its proper divisors (245139150).

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

152439090 is a wasteful number, since it uses less digits than its factorization.

152439090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 152439090 is about 12346.6226151122. The cubic root of 152439090 is about 534.1937253882.

The spelling of 152439090 in words is "one hundred fifty-two million, four hundred thirty-nine thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8627 8835 17254 17670 25881 43135 51762 86270 129405 163913 258810 267437 327826 491739 534874 802311 819565 983478 1337185 1604622 1639130 2458695 2674370 4011555 4917390 5081303 8023110 10162606 15243909 25406515 30487818 50813030 76219545 152439090