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5683560960 = 293572111373
BaseRepresentation
bin1010100101100010…
…00100001000000000
3112200002121210220210
411102301010020000
543114442422320
62335550234120
7260562320400
oct52261041000
915602553823
105683560960
112457249520
1211274b5940
136c766362c
143bcb9a800
15233e7d0e0
hex152c44200

5683560960 has 480 divisors, whose sum is σ = 23074362432. Its totient is φ = 1180139520.

The previous prime is 5683560959. The next prime is 5683560979. The reversal of 5683560960 is 690653865.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×56835609602 = 64605730372072243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4138834 + ... + 4140206.

Almost surely, 25683560960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5683560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537181216).

5683560960 is an abundant number, since it is smaller than the sum of its proper divisors (17390801472).

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

5683560960 is a wasteful number, since it uses less digits than its factorization.

5683560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 5683560960 is about 75389.3955407523. The cubic root of 5683560960 is about 1784.5970639907.

The spelling of 5683560960 in words is "five billion, six hundred eighty-three million, five hundred sixty thousand, nine hundred sixty".