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680618880 = 27325118163
BaseRepresentation
bin101000100100010…
…110101110000000
31202102201000120200
4220210112232000
52343214301010
6151312005200
722603110414
oct5044265600
91672630520
10680618880
1131a212047
1216bb30800
13ab014886
1466570d44
153eb44cc0
hex28916b80

680618880 has 96 divisors (see below), whose sum is σ = 2350281960. Its totient is φ = 181496832.

The previous prime is 680618839. The next prime is 680618881. The reversal of 680618880 is 88816086.

It is a happy number.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680618881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53322 + ... + 64841.

Almost surely, 2680618880 is an apocalyptic number.

680618880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680618880 is an abundant number, since it is smaller than the sum of its proper divisors (1669663080).

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

680618880 is a wasteful number, since it uses less digits than its factorization.

680618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118188 (or 118173 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 680618880 is about 26088.6734043723. The cubic root of 680618880 is about 879.6326290252.

The spelling of 680618880 in words is "six hundred eighty million, six hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 118163 236326 354489 472652 590815 708978 945304 1063467 1181630 1417956 1772445 1890608 2126934 2363260 2835912 3544890 3781216 4253868 4726520 5317335 5671824 7089780 7562432 8507736 9453040 10634670 11343648 14179560 15124864 17015472 18906080 21269340 22687296 28359120 34030944 37812160 42538680 45374592 56718240 68061888 75624320 85077360 113436480 136123776 170154720 226872960 340309440 680618880