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563634720 = 253351129409
BaseRepresentation
bin100001100110000…
…110001000100000
31110021120121111000
4201212012020200
52123242302340
6131532352000
716652546625
oct4146061040
91407517430
10563634720
1126a180120
12138915600
138ca0558c
1454bdc34c
1534737d30
hex21986220

563634720 has 384 divisors, whose sum is σ = 2231712000. Its totient is φ = 131604480.

The previous prime is 563634719. The next prime is 563634733. The reversal of 563634720 is 27436365.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1377876 + ... + 1378284.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2563634720 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 563634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856000).

563634720 is an abundant number, since it is smaller than the sum of its proper divisors (1668077280).

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

563634720 is a wasteful number, since it uses less digits than its factorization.

563634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 563634720 is about 23740.9923971177. The cubic root of 563634720 is about 826.0365153769.

The spelling of 563634720 in words is "five hundred sixty-three million, six hundred thirty-four thousand, seven hundred twenty".