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152731080 = 23325571743
BaseRepresentation
bin10010001101001…
…11110111001000
3101122101112122200
421012213313020
5303044343310
623053320200
73533123055
oct1106476710
9348345580
10152731080
1179238137
1243196060
1325847028
14163da02c
15d61d9c0
hex91a7dc8

152731080 has 96 divisors (see below), whose sum is σ = 497914560. Its totient is φ = 40602240.

The previous prime is 152731069. The next prime is 152731091. The reversal of 152731080 is 80137251.

152731080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152731069) and next prime (152731091).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205189 + ... + 205931.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2152731080 is an apocalyptic number.

152731080 is a gapful number since it is divisible by the number (10) 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 152731080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

152731080 is an abundant number, since it is smaller than the sum of its proper divisors (345183480).

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

152731080 is a wasteful number, since it uses less digits than its factorization.

152731080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 152731080 is about 12358.4416493343. The cubic root of 152731080 is about 534.5345822761.

The spelling of 152731080 in words is "one hundred fifty-two million, seven hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 571 743 1142 1486 1713 2229 2284 2855 2972 3426 3715 4458 4568 5139 5710 5944 6687 6852 7430 8565 8916 10278 11145 11420 13374 13704 14860 17130 17832 20556 22290 22840 25695 26748 29720 33435 34260 41112 44580 51390 53496 66870 68520 89160 102780 133740 205560 267480 424253 848506 1272759 1697012 2121265 2545518 3394024 3818277 4242530 5091036 6363795 7636554 8485060 10182072 12727590 15273108 16970120 19091385 25455180 30546216 38182770 50910360 76365540 152731080