Search a number
-
+
20158160 = 2451122907
BaseRepresentation
bin100110011100…
…1011011010000
31101221010210112
41030321123100
520130030120
62000020452
7333225101
oct114713320
941833715
1020158160
1110419140
126901728
13423a409
14296a3a8
151b82bc5
hex13396d0

20158160 has 40 divisors (see below), whose sum is σ = 51130656. Its totient is φ = 7329920.

The previous prime is 20158109. The next prime is 20158163. The reversal of 20158160 is 6185102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20158163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10574 + ... + 12333.

Almost surely, 220158160 is an apocalyptic number.

20158160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20158160 is an abundant number, since it is smaller than the sum of its proper divisors (30972496).

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

20158160 is a wasteful number, since it uses less digits than its factorization.

20158160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22931 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 20158160 is about 4489.7839591677. The cubic root of 20158160 is about 272.1554042741.

The spelling of 20158160 in words is "twenty million, one hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 22907 45814 91628 114535 183256 229070 251977 366512 458140 503954 916280 1007908 1259885 1832560 2015816 2519770 4031632 5039540 10079080 20158160