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58941120 = 263573179
BaseRepresentation
bin1110000011010…
…1111011000000
311002220112000110
43200311323000
5110042103440
65503151320
71313664000
oct340657300
9132815013
1058941120
11302a8377
12178a5540
13c299004
147b84000
155294080
hex3835ec0

58941120 has 224 divisors, whose sum is σ = 219456000. Its totient is φ = 13396992.

The previous prime is 58941109. The next prime is 58941161. The reversal of 58941120 is 2114985.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329191 + ... + 329369.

Almost surely, 258941120 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 58941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

58941120 is an abundant number, since it is smaller than the sum of its proper divisors (160514880).

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

58941120 is a wasteful number, since it uses less digits than its factorization.

58941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 58941120 is about 7677.3120296104. The cubic root of 58941120 is about 389.1700958685.

The spelling of 58941120 in words is "fifty-eight million, nine hundred forty-one thousand, one hundred twenty".