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188030064 = 243171311759
BaseRepresentation
bin10110011010100…
…01110001110000
3111002210220202110
423031101301300
5341113430224
630354045320
74442141415
oct1315216160
9432726673
10188030064
1197157852
1252b79840
132cc55bc1
141ad8810c
1511792929
hexb351c70

188030064 has 80 divisors (see below), whose sum is σ = 518538240. Its totient is φ = 58506240.

The previous prime is 188030053. The next prime is 188030069. The reversal of 188030064 is 460030881.

It is a happy number.

188030064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188030069) 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 15 ways as a sum of consecutive naturals, for example, 106017 + ... + 107775.

It is an arithmetic number, because the mean of its divisors is an integer number (6481728).

Almost surely, 2188030064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

188030064 is an abundant number, since it is smaller than the sum of its proper divisors (330508176).

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

188030064 is a wasteful number, since it uses less digits than its factorization.

188030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 188030064 is about 13712.4054782522. The cubic root of 188030064 is about 572.8959665422.

The spelling of 188030064 in words is "one hundred eighty-eight million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 1759 2096 2227 3144 3518 4454 5277 6288 6681 7036 8908 10554 13362 14072 17816 21108 26724 28144 29903 35632 42216 53448 59806 84432 89709 106896 119612 179418 230429 239224 358836 460858 478448 691287 717672 921716 1382574 1435344 1843432 2765148 3686864 3917293 5530296 7834586 11060592 11751879 15669172 23503758 31338344 47007516 62676688 94015032 188030064