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21342192 = 2433761197
BaseRepresentation
bin101000101101…
…0011111110000
31111011021222120
41101122133300
520430422232
62041234240
7346256064
oct121323760
944137876
1021342192
1111057783
127192980
134563321
142b97aa4
151d1892c
hex145a7f0

21342192 has 80 divisors (see below), whose sum is σ = 57844512. Its totient is φ = 6773760.

The previous prime is 21342179. The next prime is 21342193. The reversal of 21342192 is 29124312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108238 + ... + 108434.

Almost surely, 221342192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922256).

21342192 is an abundant number, since it is smaller than the sum of its proper divisors (36502320).

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

21342192 is a wasteful number, since it uses less digits than its factorization.

21342192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 21342192 is about 4619.7610327808. The cubic root of 21342192 is about 277.3828935303.

The spelling of 21342192 in words is "twenty-one million, three hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 61 74 111 122 148 183 197 222 244 296 366 394 444 488 591 592 732 788 888 976 1182 1464 1576 1776 2257 2364 2928 3152 4514 4728 6771 7289 9028 9456 12017 13542 14578 18056 21867 24034 27084 29156 36051 36112 43734 48068 54168 58312 72102 87468 96136 108336 116624 144204 174936 192272 288408 349872 444629 576816 889258 1333887 1778516 2667774 3557032 5335548 7114064 10671096 21342192