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21768138 = 2327315573
BaseRepresentation
bin101001100001…
…0011111001010
31111221221021100
41103002133022
521033040023
62054322230
7353011650
oct123023712
944857240
1021768138
11113187a7
127359376
134682172
142c68dd0
151d9ec43
hex14c27ca

21768138 has 48 divisors (see below), whose sum is σ = 55650816. Its totient is φ = 6017760.

The previous prime is 21768133. The next prime is 21768179. The reversal of 21768138 is 83186712.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21768133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (1159392).

Almost surely, 221768138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21768138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825408).

21768138 is an abundant number, since it is smaller than the sum of its proper divisors (33882678).

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

21768138 is a wasteful number, since it uses less digits than its factorization.

21768138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5616 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 21768138 is about 4665.6337190140. The cubic root of 21768138 is about 279.2160811119.

It can be divided in two parts, 2 and 1768138, that added together give a triangular number (1768140 = T1880).

The spelling of 21768138 in words is "twenty-one million, seven hundred sixty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 5573 11146 16719 33438 39011 50157 78022 100314 117033 172763 234066 345526 351099 518289 702198 1036578 1209341 1554867 2418682 3109734 3628023 7256046 10884069 21768138