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58940640 = 2532511612
BaseRepresentation
bin1110000011010…
…1110011100000
311002220111100200
43200311303200
5110042100030
65503145200
71313662413
oct340656340
9132814320
1058940640
11302a7a80
12178a5200
13c298a25
147b83b7a
155293d60
hex3835ce0

58940640 has 216 divisors, whose sum is σ = 223075944. Its totient is φ = 14054400.

The previous prime is 58940639. The next prime is 58940663. The reversal of 58940640 is 4604985.

58940640 is a `hidden beast` number, since 5 + 8 + 9 + 4 + 0 + 640 = 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 = 58940595 and 58940604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 966210 + ... + 966270.

It is an arithmetic number, because the mean of its divisors is an integer number (1032759).

Almost surely, 258940640 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 58940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537972).

58940640 is an abundant number, since it is smaller than the sum of its proper divisors (164135304).

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

58940640 is a wasteful number, since it uses less digits than its factorization.

58940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58940640 is about 7677.2807686055. The cubic root of 58940640 is about 389.1690394348.

The spelling of 58940640 in words is "fifty-eight million, nine hundred forty thousand, six hundred forty".