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152027064 = 23337100547
BaseRepresentation
bin10010000111110…
…11111110111000
3101121001202221000
421003323332320
5302404331224
623030245000
73524131410
oct1103737670
9347052830
10152027064
11788a7202
1242ab6760
132565b757
1416295640
15d5300c9
hex90fbfb8

152027064 has 64 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 43435872.

The previous prime is 152027053. The next prime is 152027089. The reversal of 152027064 is 460720251.

It is a super-2 number, since 2×1520270642 = 46224456376920192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48762 + ... + 51785.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2152027064 is an apocalyptic number.

152027064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152027064 is an abundant number, since it is smaller than the sum of its proper divisors (330603336).

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

152027064 is a wasteful number, since it uses less digits than its factorization.

152027064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100569 (or 100559 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 152027064 is about 12329.9255472205. The cubic root of 152027064 is about 533.7120022604.

The spelling of 152027064 in words is "one hundred fifty-two million, twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 100547 201094 301641 402188 603282 703829 804376 904923 1206564 1407658 1809846 2111487 2413128 2714769 2815316 3619692 4222974 5429538 5630632 6334461 7239384 8445948 10859076 12668922 16891896 19003383 21718152 25337844 38006766 50675688 76013532 152027064