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58054080 = 2635753163
BaseRepresentation
bin1101110101110…
…1010111000000
311001020110020010
43131131113000
5104330212310
65432144520
71303310610
oct335352700
9131213203
1058054080
112a851987
1217538140
13c048336
1479d2a40
15516b320
hex375d5c0

58054080 has 224 divisors, whose sum is σ = 215944704. Its totient is φ = 12939264.

The previous prime is 58054069. The next prime is 58054111. The reversal of 58054080 is 8045085.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356079 + ... + 356241.

Almost surely, 258054080 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 58054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107972352).

58054080 is an abundant number, since it is smaller than the sum of its proper divisors (157890624).

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

58054080 is a wasteful number, since it uses less digits than its factorization.

58054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 58054080 is about 7619.3228045542. The cubic root of 58054080 is about 387.2079353154.

The spelling of 58054080 in words is "fifty-eight million, fifty-four thousand, eighty".