Search a number
-
+
58270920 = 23351493259
BaseRepresentation
bin1101111001001…
…0010011001000
311001122110200020
43132102103020
5104404132140
65440540440
71305203031
oct336222310
9131573606
1058270920
112a98a894
1217621720
13c0c2c46
147a4ba88
1551b06d0
hex37924c8

58270920 has 64 divisors (see below), whose sum is σ = 176040000. Its totient is φ = 15429888.

The previous prime is 58270913. The next prime is 58270931. The reversal of 58270920 is 2907285.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16251 + ... + 19509.

It is an arithmetic number, because the mean of its divisors is an integer number (2750625).

Almost surely, 258270920 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 58270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88020000).

58270920 is an abundant number, since it is smaller than the sum of its proper divisors (117769080).

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

58270920 is a wasteful number, since it uses less digits than its factorization.

58270920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 58270920 is about 7633.5391529749. The cubic root of 58270920 is about 387.6894280219.

The spelling of 58270920 in words is "fifty-eight million, two hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3259 3576 4470 5960 6518 8940 9777 13036 16295 17880 19554 26072 32590 39108 48885 65180 78216 97770 130360 195540 391080 485591 971182 1456773 1942364 2427955 2913546 3884728 4855910 5827092 7283865 9711820 11654184 14567730 19423640 29135460 58270920