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21141144 = 2332479613
BaseRepresentation
bin101000010100…
…1011010011000
31110210002012100
41100221122120
520403004034
62033043400
7344460663
oct120513230
943702170
1021141144
1110a2a722
1270b6560
1344c296b
142b446da
151cc9099
hex1429698

21141144 has 48 divisors (see below), whose sum is σ = 57470400. Its totient is φ = 7020864.

The previous prime is 21141143. The next prime is 21141161. The reversal of 21141144 is 44114112.

21141144 is a `hidden beast` number, since 211 + 411 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34182 + ... + 34794.

It is an arithmetic number, because the mean of its divisors is an integer number (1197300).

Almost surely, 221141144 is an apocalyptic number.

21141144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21141144 is an abundant number, since it is smaller than the sum of its proper divisors (36329256).

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

21141144 is a wasteful number, since it uses less digits than its factorization.

21141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 21141144 is about 4597.9499779793. The cubic root of 21141144 is about 276.5091421145.

Adding to 21141144 its reverse (44114112), we get a palindrome (65255256).

The spelling of 21141144 in words is "twenty-one million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 479 613 958 1226 1437 1839 1916 2452 2874 3678 3832 4311 4904 5517 5748 7356 8622 11034 11496 14712 17244 22068 34488 44136 293627 587254 880881 1174508 1761762 2349016 2642643 3523524 5285286 7047048 10570572 21141144