Search a number
-
+
20158152 = 2337971237
BaseRepresentation
bin100110011100…
…1011011001000
31101221010210020
41030321123020
520130030102
62000020440
7333225060
oct114713310
941833706
1020158152
1110419133
126901720
13423a401
14296a3a0
151b82bbc
hex13396c8

20158152 has 64 divisors (see below), whose sum is σ = 58235520. Its totient is φ = 5695488.

The previous prime is 20158109. The next prime is 20158163. The reversal of 20158152 is 25185102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15678 + ... + 16914.

It is an arithmetic number, because the mean of its divisors is an integer number (909930).

Almost surely, 220158152 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 20158152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29117760).

20158152 is an abundant number, since it is smaller than the sum of its proper divisors (38077368).

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

20158152 is a wasteful number, since it uses less digits than its factorization.

20158152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 20158152 is about 4489.7830682562. The cubic root of 20158152 is about 272.1553682714.

The spelling of 20158152 in words is "twenty million, one hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1237 1358 2037 2328 2474 2716 3711 4074 4948 5432 7422 8148 8659 9896 14844 16296 17318 25977 29688 34636 51954 69272 103908 119989 207816 239978 359967 479956 719934 839923 959912 1439868 1679846 2519769 2879736 3359692 5039538 6719384 10079076 20158152