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64992240 = 2433530089
BaseRepresentation
bin1111011111101…
…1001111110000
311112021221121000
43313323033300
5113114222430
610241002000
71416265515
oct367731760
9145257530
1064992240
11337606a5
1219923300
1310607361
1488bb30c
155a8be60
hex3dfb3f0

64992240 has 80 divisors (see below), whose sum is σ = 223869600. Its totient is φ = 17330688.

The previous prime is 64992229. The next prime is 64992247. The reversal of 64992240 is 4229946.

64992240 is a `hidden beast` number, since 649 + 9 + 2 + 2 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64992195 and 64992204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64992247) 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, 12885 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (2798370).

Almost surely, 264992240 is an apocalyptic number.

64992240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64992240 is an abundant number, since it is smaller than the sum of its proper divisors (158877360).

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

64992240 is a wasteful number, since it uses less digits than its factorization.

64992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30111 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64992240 is about 8061.7764791639. The cubic root of 64992240 is about 402.0565747955.

The spelling of 64992240 in words is "sixty-four million, nine hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 30089 60178 90267 120356 150445 180534 240712 270801 300890 361068 451335 481424 541602 601780 722136 812403 902670 1083204 1203560 1354005 1444272 1624806 1805340 2166408 2407120 2708010 3249612 3610680 4062015 4332816 5416020 6499224 7221360 8124030 10832040 12998448 16248060 21664080 32496120 64992240