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64965840 = 24351715923
BaseRepresentation
bin1111011111010…
…0110011010000
311112020121101020
43313310303100
5113112401330
610240235440
71416125532
oct367646320
9145217336
1064965840
1133742885
121990bb80
13105c8334
1488b1852
155a84210
hex3df4cd0

64965840 has 80 divisors (see below), whose sum is σ = 213254208. Its totient is φ = 16304128.

The previous prime is 64965833. The next prime is 64965841. The reversal of 64965840 is 4856946.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 64965792 and 64965801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64965841) 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, 3882 + ... + 12041.

Almost surely, 264965840 is an apocalyptic number.

64965840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64965840 is an abundant number, since it is smaller than the sum of its proper divisors (148288368).

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

64965840 is a wasteful number, since it uses less digits than its factorization.

64965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 64965840 is about 8060.1389566186. The cubic root of 64965840 is about 402.0021286489.

The spelling of 64965840 in words is "sixty-four million, nine hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 15923 31846 47769 63692 79615 95538 127384 159230 191076 238845 254768 270691 318460 382152 477690 541382 636920 764304 812073 955380 1082764 1273840 1353455 1624146 1910760 2165528 2706910 3248292 3821520 4060365 4331056 5413820 6496584 8120730 10827640 12993168 16241460 21655280 32482920 64965840