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64975380 = 223531181193
BaseRepresentation
bin1111011111011…
…1001000010100
311112021002110120
43313313020110
5113113203010
610240351540
71416165411
oct367671024
9145232416
1064975380
1133749a68
12199155b0
13105cc792
1488b5108
155a86e70
hex3df7214

64975380 has 96 divisors (see below), whose sum is σ = 189815808. Its totient is φ = 16588800.

The previous prime is 64975373. The next prime is 64975409. The reversal of 64975380 is 8357946.

It is a happy number.

It is a super-2 number, since 2×649753802 = 8443600012288800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336564 + ... + 336756.

It is an arithmetic number, because the mean of its divisors is an integer number (1977248).

Almost surely, 264975380 is an apocalyptic number.

64975380 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 64975380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94907904).

64975380 is an abundant number, since it is smaller than the sum of its proper divisors (124840428).

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

64975380 is a wasteful number, since it uses less digits than its factorization.

64975380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 64975380 is about 8060.7307361058. The cubic root of 64975380 is about 402.0218052082.

Adding to 64975380 its product of nonzero digits (181440), we get a triangular number (65156820 = T11415).

The spelling of 64975380 in words is "sixty-four million, nine hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 181 186 193 310 362 372 386 465 543 579 620 724 772 905 930 965 1086 1158 1810 1860 1930 2172 2316 2715 2895 3620 3860 5430 5611 5790 5983 10860 11222 11580 11966 16833 17949 22444 23932 28055 29915 33666 34933 35898 56110 59830 67332 69866 71796 84165 89745 104799 112220 119660 139732 168330 174665 179490 209598 336660 349330 358980 419196 523995 698660 1047990 1082923 2095980 2165846 3248769 4331692 5414615 6497538 10829230 12995076 16243845 21658460 32487690 64975380