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65696640 = 273534217
BaseRepresentation
bin1111101010011…
…1001110000000
311120121201211220
43322213032000
5113304243030
610304035040
71425261252
oct372471600
9146551756
1065696640
11340a1949
121a002a80
13107c2b69
148a21cd2
155b7aa10
hex3ea7380

65696640 has 64 divisors (see below), whose sum is σ = 209414160. Its totient is φ = 17518592.

The previous prime is 65696639. The next prime is 65696663. The reversal of 65696640 is 4669656.

65696640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 65696592 and 65696601.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15189 + ... + 19028.

Almost surely, 265696640 is an apocalyptic number.

65696640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65696640 is an abundant number, since it is smaller than the sum of its proper divisors (143717520).

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

65696640 is a wasteful number, since it uses less digits than its factorization.

65696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239 (or 34227 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 65696640 is about 8105.3463837149. The cubic root of 65696640 is about 403.5038840377.

The spelling of 65696640 in words is "sixty-five million, six hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 34217 68434 102651 136868 171085 205302 273736 342170 410604 513255 547472 684340 821208 1026510 1094944 1368680 1642416 2053020 2189888 2737360 3284832 4106040 4379776 5474720 6569664 8212080 10949440 13139328 16424160 21898880 32848320 65696640