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58423680 = 273457223
BaseRepresentation
bin1101111011011…
…1100110000000
311001221020020000
43132313212000
5104424024210
65444120000
71306410300
oct336674600
9131836200
1058423680
112aa84637
1217696000
13c147633
147a8b600
1551e0ac0
hex37b7980

58423680 has 480 divisors, whose sum is σ = 253257840. Its totient is φ = 12773376.

The previous prime is 58423669. The next prime is 58423681. The reversal of 58423680 is 8632485.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58423681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540149 + ... + 2540171.

Almost surely, 258423680 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 58423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126628920).

58423680 is an abundant number, since it is smaller than the sum of its proper divisors (194834160).

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

58423680 is a wasteful number, since it uses less digits than its factorization.

58423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58423680 is about 7643.5384476040. The cubic root of 58423680 is about 388.0279145255.

The spelling of 58423680 in words is "fifty-eight million, four hundred twenty-three thousand, six hundred eighty".