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672670680 = 2335111926821
BaseRepresentation
bin101000000110000…
…010001111011000
31201212202012200220
4220012002033120
52334200430210
6150425400040
722445415003
oct5006021730
91655665626
10672670680
11315783490
12169339020
13a9490bb6
14654a253a
153e0c4c70
hex281823d8

672670680 has 128 divisors (see below), whose sum is σ = 2317420800. Its totient is φ = 154483200.

The previous prime is 672670679. The next prime is 672670703. The reversal of 672670680 is 86076276.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11670 + ... + 38490.

It is an arithmetic number, because the mean of its divisors is an integer number (18104850).

Almost surely, 2672670680 is an apocalyptic number.

672670680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158710400).

672670680 is an abundant number, since it is smaller than the sum of its proper divisors (1644750120).

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

672670680 is a wasteful number, since it uses less digits than its factorization.

672670680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26865 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 672670680 is about 25935.8955889323. The cubic root of 672670680 is about 876.1951255248.

The spelling of 672670680 in words is "six hundred seventy-two million, six hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 26821 53642 80463 107284 134105 160926 214568 268210 295031 321852 402315 509599 536420 590062 643704 804630 885093 1019198 1072840 1180124 1475155 1528797 1609260 1770186 2038396 2360248 2547995 2950310 3057594 3218520 3540372 4076792 4425465 5095990 5605589 5900620 6115188 7080744 7643985 8850930 10191980 11211178 11801240 12230376 15287970 16816767 17701860 20383960 22422356 28027945 30575940 33633534 35403720 44844712 56055890 61151880 67267068 84083835 112111780 134534136 168167670 224223560 336335340 672670680