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64269960 = 23354113063
BaseRepresentation
bin1111010100101…
…0111010001000
311110221020210220
43311022322020
5112423114320
610213310040
71410166656
oct365127210
9143836726
1064269960
1133307a77
1219635320
1310413681
14876ddd6
155997e40
hex3d4ae88

64269960 has 64 divisors (see below), whose sum is σ = 197527680. Its totient is φ = 16719360.

The previous prime is 64269949. The next prime is 64269977. The reversal of 64269960 is 6996246.

64269960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612 + ... + 11451.

It is an arithmetic number, because the mean of its divisors is an integer number (3086370).

Almost surely, 264269960 is an apocalyptic number.

64269960 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 64269960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98763840).

64269960 is an abundant number, since it is smaller than the sum of its proper divisors (133257720).

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

64269960 is a wasteful number, since it uses less digits than its factorization.

64269960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 64269960 is about 8016.8547448485. The cubic root of 64269960 is about 400.5616277333.

The spelling of 64269960 in words is "sixty-four million, two hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 13063 26126 39189 52252 65315 78378 104504 130630 156756 195945 261260 313512 391890 522520 535583 783780 1071166 1567560 1606749 2142332 2677915 3213498 4284664 5355830 6426996 8033745 10711660 12853992 16067490 21423320 32134980 64269960