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668610432 = 2732782913
BaseRepresentation
bin100111110110100…
…010111110000000
31201121002221002100
4213312202332000
52332131013212
6150202350400
722366044360
oct4766427600
91647087070
10668610432
1131345aa06
12167abb400
13a869ba99
1464b269a0
153da71bdc
hex27da2f80

668610432 has 96 divisors (see below), whose sum is σ = 2198879280. Its totient is φ = 191029248.

The previous prime is 668610421. The next prime is 668610443. The reversal of 668610432 is 234016866.

668610432 is a `hidden beast` number, since 6 + 6 + 8 + 610 + 4 + 32 = 666.

668610432 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 (668610421) and next prime (668610443).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33393 + ... + 49520.

Almost surely, 2668610432 is an apocalyptic number.

It is an amenable number.

668610432 is an abundant number, since it is smaller than the sum of its proper divisors (1530268848).

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

668610432 is a wasteful number, since it uses less digits than its factorization.

668610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82940 (or 82925 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 668610432 is about 25857.5024315961. The cubic root of 668610432 is about 874.4286586363.

The spelling of 668610432 in words is "six hundred sixty-eight million, six hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 82913 165826 248739 331652 497478 580391 663304 746217 994956 1160782 1326608 1492434 1741173 1989912 2321564 2653216 2984868 3482346 3979824 4643128 5223519 5306432 5969736 6964692 7959648 9286256 10447038 10612864 11939472 13929384 15919296 18572512 20894076 23878944 27858768 31838592 37145024 41788152 47757888 55717536 74290048 83576304 95515776 111435072 167152608 222870144 334305216 668610432