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20377164 = 2234183499
BaseRepresentation
bin100110110111…
…0111001001100
31102100021012210
41031232321030
520204032124
62004430420
7335126433
oct115567114
942307183
1020377164
1110558735
1269a8410
1342b5cc2
1429c611a
151bc7a29
hex136ee4c

20377164 has 48 divisors (see below), whose sum is σ = 49392000. Its totient is φ = 6533760.

The previous prime is 20377163. The next prime is 20377171. The reversal of 20377164 is 46177302.

20377164 = T171 + T172 + ... + T502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20377163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40587 + ... + 41085.

It is an arithmetic number, because the mean of its divisors is an integer number (1029000).

Almost surely, 220377164 is an apocalyptic number.

It is an amenable number.

20377164 is an abundant number, since it is smaller than the sum of its proper divisors (29014836).

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

20377164 is a wasteful number, since it uses less digits than its factorization.

20377164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 20377164 is about 4514.1072207027. The cubic root of 20377164 is about 273.1374477271.

The spelling of 20377164 in words is "twenty million, three hundred seventy-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 41 82 83 123 164 166 246 249 332 492 498 499 996 998 1497 1996 2994 3403 5988 6806 10209 13612 20418 20459 40836 40918 41417 61377 81836 82834 122754 124251 165668 245508 248502 497004 1698097 3396194 5094291 6792388 10188582 20377164