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152010560 = 2651336541
BaseRepresentation
bin10010000111101…
…11111101000000
3101121000221021202
421003313331000
5302403314220
623030040332
73524032322
oct1103677500
9347027252
10152010560
1178895869
1242aa90a8
13256540a0
141628d612
15d52a275
hex90f7f40

152010560 has 56 divisors (see below), whose sum is σ = 389830056. Its totient is φ = 56125440.

The previous prime is 152010557. The next prime is 152010587. The reversal of 152010560 is 65010251.

152010560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 127961344 = 4904^2 + 11312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14111 + ... + 22430.

It is an arithmetic number, because the mean of its divisors is an integer number (6961251).

Almost surely, 2152010560 is an apocalyptic number.

152010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152010560 is an abundant number, since it is smaller than the sum of its proper divisors (237819496).

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

152010560 is a wasteful number, since it uses less digits than its factorization.

152010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36571 (or 36561 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 152010560 is about 12329.2562630517. The cubic root of 152010560 is about 533.6926883711.

The spelling of 152010560 in words is "one hundred fifty-two million, ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 36541 73082 146164 182705 292328 365410 475033 584656 730820 950066 1169312 1461640 1900132 2338624 2375165 2923280 3800264 4750330 5846560 7600528 9500660 11693120 15201056 19001320 30402112 38002640 76005280 152010560