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152376820 = 2254723449
BaseRepresentation
bin10010001010100…
…01010111110100
3101121201112200221
421011101113310
5303002024240
623041544124
73530116201
oct1105212764
9347645627
10152376820
1179015a62
1243045044
13257519cb
1416346ca8
15d59da4a
hex91515f4

152376820 has 36 divisors (see below), whose sum is σ = 327039300. Its totient is φ = 59636608.

The previous prime is 152376799. The next prime is 152376823. The reversal of 152376820 is 28673251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18696976 + 133679844 = 4324^2 + 11562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152376823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42456 + ... + 45904.

It is an arithmetic number, because the mean of its divisors is an integer number (9084425).

Almost surely, 2152376820 is an apocalyptic number.

152376820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152376820 is an abundant number, since it is smaller than the sum of its proper divisors (174662480).

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

152376820 is a wasteful number, since it uses less digits than its factorization.

152376820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 152376820 is about 12344.1006152737. The cubic root of 152376820 is about 534.1209777011.

The spelling of 152376820 in words is "one hundred fifty-two million, three hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 2209 3449 4418 6898 8836 11045 13796 17245 22090 34490 44180 68980 162103 324206 648412 810515 1621030 3242060 7618841 15237682 30475364 38094205 76188410 152376820