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5680456740 = 22325723316323
BaseRepresentation
bin1010100101001010…
…01110010000100100
3112122212210002201200
411102211032100210
543113144103430
62335355522500
7260524041240
oct52245162044
915585702650
105680456740
112455519252
121126459430
136c6b1770a
143bc5cd420
15233a68460
hex15294e424

5680456740 has 288 divisors, whose sum is σ = 21214642176. Its totient is φ = 1201685760.

The previous prime is 5680456729. The next prime is 5680456741. The reversal of 5680456740 is 476540865.

5680456740 is a `hidden beast` number, since 5 + 6 + 80 + 4 + 567 + 4 + 0 = 666.

It is a super-2 number, since 2×56804567402 = 64535177550022855200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5680456741) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 895219 + ... + 901541.

It is an arithmetic number, because the mean of its divisors is an integer number (73661952).

Almost surely, 25680456740 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 5680456740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607321088).

5680456740 is an abundant number, since it is smaller than the sum of its proper divisors (15534185436).

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

5680456740 is a wasteful number, since it uses less digits than its factorization.

5680456740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5680456740 is about 75368.8048200315. The cubic root of 5680456740 is about 1784.2721039403.

The spelling of 5680456740 in words is "five billion, six hundred eighty million, four hundred fifty-six thousand, seven hundred forty".