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64540680 = 23352112549
BaseRepresentation
bin1111011000110…
…1000000001000
311111110000011120
43312031000020
5113010300210
610223155240
71412405151
oct366150010
9144400146
1064540680
1133482406
1219745b20
13104a9969
148800928
1559ed270
hex3d8d008

64540680 has 64 divisors (see below), whose sum is σ = 194616000. Its totient is φ = 17122560.

The previous prime is 64540669. The next prime is 64540681. The reversal of 64540680 is 8604546.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (64540681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24046 + ... + 26594.

It is an arithmetic number, because the mean of its divisors is an integer number (3040875).

Almost surely, 264540680 is an apocalyptic number.

64540680 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 64540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97308000).

64540680 is an abundant number, since it is smaller than the sum of its proper divisors (130075320).

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

64540680 is a wasteful number, since it uses less digits than its factorization.

64540680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 64540680 is about 8033.7214290763. The cubic root of 64540680 is about 401.1232594347.

The spelling of 64540680 in words is "sixty-four million, five hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 2549 3165 4220 5064 5098 6330 7647 8440 10196 12660 12745 15294 20392 25320 25490 30588 38235 50980 61176 76470 101960 152940 305880 537839 1075678 1613517 2151356 2689195 3227034 4302712 5378390 6454068 8067585 10756780 12908136 16135170 21513560 32270340 64540680