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64978080 = 2535177963
BaseRepresentation
bin1111011111011…
…1110010100000
311112021020011120
43313313302200
5113113244310
610240412240
71416206316
oct367676240
9145236146
1064978080
1133750aa2
1219917080
1310600a8b
1488b60b6
155a87b70
hex3df7ca0

64978080 has 96 divisors (see below), whose sum is σ = 216748224. Its totient is φ = 16306176.

The previous prime is 64978079. The next prime is 64978129. The reversal of 64978080 is 8087946.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179 + ... + 12141.

It is an arithmetic number, because the mean of its divisors is an integer number (2257794).

Almost surely, 264978080 is an apocalyptic number.

64978080 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 64978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108374112).

64978080 is an abundant number, since it is smaller than the sum of its proper divisors (151770144).

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

64978080 is a wasteful number, since it uses less digits than its factorization.

64978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 64978080 is about 8060.8982129785. The cubic root of 64978080 is about 402.0273736960.

The spelling of 64978080 in words is "sixty-four million, nine hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 7963 8160 15926 23889 31852 39815 47778 63704 79630 95556 119445 127408 135371 159260 191112 238890 254816 270742 318520 382224 406113 477780 541484 637040 676855 764448 812226 955560 1082968 1274080 1353710 1624452 1911120 2030565 2165936 2707420 3248904 3822240 4061130 4331872 5414840 6497808 8122260 10829680 12995616 16244520 21659360 32489040 64978080