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6390752940 = 223251121322571
BaseRepresentation
bin1011111001110101…
…10010011010101100
3121111101022212221100
411330322302122230
5101042013043230
62534052003100
7314240334525
oct57472623254
917441285840
106390752940
11278a460300
1212a4300490
137ab020420
14448a8784c
152760c1660
hex17ceb26ac

6390752940 has 216 divisors, whose sum is σ = 22947868944. Its totient is φ = 1430035200.

The previous prime is 6390752873. The next prime is 6390752959. The reversal of 6390752940 is 492570936.

It is a happy number.

6390752940 is a `hidden beast` number, since 639 + 0 + 7 + 5 + 2 + 9 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271855 + ... + 294425.

It is an arithmetic number, because the mean of its divisors is an integer number (106240134).

Almost surely, 26390752940 is an apocalyptic number.

6390752940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6390752940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473934472).

6390752940 is an abundant number, since it is smaller than the sum of its proper divisors (16557116004).

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

6390752940 is a wasteful number, since it uses less digits than its factorization.

6390752940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22621 (or 22605 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6390752940 is about 79942.1849838995. The cubic root of 6390752940 is about 1855.7409138912.

The spelling of 6390752940 in words is "six billion, three hundred ninety million, seven hundred fifty-two thousand, nine hundred forty".