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58065020 = 22513241419
BaseRepresentation
bin1101110110000…
…0000001111100
311001021000020022
43131200001330
5104331040040
65432311312
71303354526
oct335400174
9131230208
1058065020
112a85a122
1217542538
13c050300
1479d6a16
15516e6b5
hex376007c

58065020 has 72 divisors (see below), whose sum is σ = 135581040. Its totient is φ = 20866560.

The previous prime is 58064987. The next prime is 58065023. The reversal of 58065020 is 2056085.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58065023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138371 + ... + 138789.

It is an arithmetic number, because the mean of its divisors is an integer number (1883070).

Almost surely, 258065020 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 58065020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67790520).

58065020 is an abundant number, since it is smaller than the sum of its proper divisors (77516020).

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

58065020 is a wasteful number, since it uses less digits than its factorization.

58065020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 58065020 is about 7620.0406823061. The cubic root of 58065020 is about 387.2322562517.

The spelling of 58065020 in words is "fifty-eight million, sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 169 205 260 338 410 419 533 676 820 838 845 1066 1676 1690 2095 2132 2665 3380 4190 5330 5447 6929 8380 10660 10894 13858 17179 21788 27235 27716 34358 34645 54470 68716 69290 70811 85895 108940 138580 141622 171790 223327 283244 343580 354055 446654 708110 893308 1116635 1416220 2233270 2903251 4466540 5806502 11613004 14516255 29032510 58065020