Search a number
-
+
58198420 = 22571512753
BaseRepresentation
bin1101111000000…
…0100110010100
311001111210020001
43132000212110
5104344322140
65435221044
71304451460
oct336004624
9131453201
1058198420
112a940375
12175a7784
13c098c47
147a2d4a0
155198e9a
hex3780994

58198420 has 48 divisors (see below), whose sum is σ = 140652288. Its totient is φ = 19814400.

The previous prime is 58198417. The next prime is 58198433. The reversal of 58198420 is 2489185.

It is a self number, because there is not a number n which added to its sum of digits gives 58198420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19764 + ... + 22516.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 258198420 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 58198420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326144).

58198420 is an abundant number, since it is smaller than the sum of its proper divisors (82453868).

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

58198420 is a wasteful number, since it uses less digits than its factorization.

58198420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 58198420 is about 7628.7888947067. The cubic root of 58198420 is about 387.5285750693.

The spelling of 58198420 in words is "fifty-eight million, one hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 2753 3020 4228 5285 5506 10570 11012 13765 19271 21140 27530 38542 55060 77084 96355 192710 385420 415703 831406 1662812 2078515 2909921 4157030 5819842 8314060 11639684 14549605 29099210 58198420