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668905104 = 243731149431
BaseRepresentation
bin100111110111101…
…010111010010000
31201121122220022010
4213313222322100
52332214430404
6150212542520
722401412440
oct4767527220
91647586263
10668905104
1131364133a
12168021a40
13a8772c4a
1464ba2120
153dace189
hex27deae90

668905104 has 160 divisors (see below), whose sum is σ = 2057011200. Its totient is φ = 183283200.

The previous prime is 668905099. The next prime is 668905109. The reversal of 668905104 is 401509866.

It is an interprime number because it is at equal distance from previous prime (668905099) and next prime (668905109).

It is not an unprimeable number, because it can be changed into a prime (668905109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1551769 + ... + 1552199.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 2668905104 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 668905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028505600).

668905104 is an abundant number, since it is smaller than the sum of its proper divisors (1388106096).

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

668905104 is a wasteful number, since it uses less digits than its factorization.

668905104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 668905104 is about 25863.1998020353. The cubic root of 668905104 is about 874.5571000450.

The spelling of 668905104 in words is "six hundred sixty-eight million, nine hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 149 168 186 217 248 298 336 372 431 434 447 496 596 651 744 862 868 894 1043 1192 1293 1302 1488 1724 1736 1788 2086 2384 2586 2604 3017 3129 3448 3472 3576 4172 4619 5172 5208 6034 6258 6896 7152 8344 9051 9238 10344 10416 12068 12516 13361 13857 16688 18102 18476 20688 24136 25032 26722 27714 32333 36204 36952 40083 48272 50064 53444 55428 64219 64666 72408 73904 80166 93527 96999 106888 110856 128438 129332 144816 160332 187054 192657 193998 213776 221712 256876 258664 280581 320664 374108 385314 387996 449533 513752 517328 561162 641328 748216 770628 775992 899066 1027504 1122324 1348599 1496432 1541256 1551984 1798132 1990789 2244648 2697198 3082512 3596264 3981578 4489296 5394396 5972367 7192528 7963156 10788792 11944734 13935523 15926312 21577584 23889468 27871046 31852624 41806569 47778936 55742092 83613138 95557872 111484184 167226276 222968368 334452552 668905104