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20376864 = 253270753
BaseRepresentation
bin100110110111…
…0110100100000
31102100020210200
41031232310200
520204024424
62004425200
7335125524
oct115566440
942306720
1020376864
1110558492
1269a8200
1342b5b21
1429c5d84
151bc78c9
hex136ed20

20376864 has 36 divisors (see below), whose sum is σ = 57947526. Its totient is φ = 6792192.

The previous prime is 20376847. The next prime is 20376869. The reversal of 20376864 is 46867302.

It can be written as a sum of positive squares in only one way, i.e., 19184400 + 1192464 = 4380^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×203768643 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20376869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35089 + ... + 35664.

Almost surely, 220376864 is an apocalyptic number.

20376864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20376864 is an abundant number, since it is smaller than the sum of its proper divisors (37570662).

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

20376864 is a wasteful number, since it uses less digits than its factorization.

20376864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70769 (or 70758 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20376864 is about 4514.0739914184. The cubic root of 20376864 is about 273.1361073110.

The spelling of 20376864 in words is "twenty million, three hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70753 141506 212259 283012 424518 566024 636777 849036 1132048 1273554 1698072 2264096 2547108 3396144 5094216 6792288 10188432 20376864