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5923139040 = 2533571321961
BaseRepresentation
bin1011000010000101…
…11110110111100000
3120021210102122021000
411201002332313200
544112310422130
62415425232000
7266531564640
oct54102766740
916253378230
105923139040
11256a504035
121193792600
13735197400
14402922520
1524a004260
hex1610bede0

5923139040 has 1152 divisors, whose sum is σ = 27448243200. Its totient is φ = 1164533760.

The previous prime is 5923138999. The next prime is 5923139051. The reversal of 5923139040 is 409313295.

It is a happy number.

5923139040 is a `hidden beast` number, since 592 + 31 + 39 + 0 + 4 + 0 = 666.

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 = 5923138986 and 5923139004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97100610 + ... + 97100670.

It is an arithmetic number, because the mean of its divisors is an integer number (23826600).

Almost surely, 25923139040 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 5923139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724121600).

5923139040 is an abundant number, since it is smaller than the sum of its proper divisors (21525104160).

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

5923139040 is a wasteful number, since it uses less digits than its factorization.

5923139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5923139040 is about 76961.9324081718. The cubic root of 5923139040 is about 1809.3280209553.

The spelling of 5923139040 in words is "five billion, nine hundred twenty-three million, one hundred thirty-nine thousand, forty".