Search a number
-
+
58099140 = 22335119781
BaseRepresentation
bin1101110110100…
…0010111000100
311001022202001000
43131220113010
5104333133030
65433133300
71303556151
oct335502704
9131282030
1058099140
112a882820
121755a230
13c0629b8
147a05228
155179860
hex37685c4

58099140 has 96 divisors (see below), whose sum is σ = 197205120. Its totient is φ = 14083200.

The previous prime is 58099103. The next prime is 58099141. The reversal of 58099140 is 4199085.

58099140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 58099095 and 58099104.

It is not an unprimeable number, because it can be changed into a prime (58099141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050 + ... + 10830.

It is an arithmetic number, because the mean of its divisors is an integer number (2054220).

Almost surely, 258099140 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 58099140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98602560).

58099140 is an abundant number, since it is smaller than the sum of its proper divisors (139105980).

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

58099140 is a wasteful number, since it uses less digits than its factorization.

58099140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 58099140 is about 7622.2791867000. The cubic root of 58099140 is about 387.3080895015.

The spelling of 58099140 in words is "fifty-eight million, ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 9781 19562 29343 39124 48905 58686 88029 97810 107591 117372 146715 176058 195620 215182 264087 293430 322773 352116 430364 440145 528174 537955 586860 645546 880290 968319 1056348 1075910 1291092 1320435 1613865 1760580 1936638 2151820 2640870 2904957 3227730 3873276 4841595 5281740 5809914 6455460 9683190 11619828 14524785 19366380 29049570 58099140