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21342072 = 233173181
BaseRepresentation
bin101000101101…
…0011101111000
31111011021211010
41101122131320
520430421242
62041233520
7346255533
oct121323570
944137733
1021342072
1111057684
1271928a0
13456325b
142b97a1a
151d1889c
hex145a778

21342072 has 64 divisors (see below), whose sum is σ = 57002400. Its totient is φ = 6658560.

The previous prime is 21342071. The next prime is 21342119. The reversal of 21342072 is 27024312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342071) 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, 117822 + ... + 118002.

Almost surely, 221342072 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 21342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28501200).

21342072 is an abundant number, since it is smaller than the sum of its proper divisors (35660328).

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

21342072 is a wasteful number, since it uses less digits than its factorization.

21342072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 21342072 is about 4619.7480450778. The cubic root of 21342072 is about 277.3823736523.

Adding to 21342072 its reverse (27024312), we get a palindrome (48366384).

The spelling of 21342072 in words is "twenty-one million, three hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 181 204 289 362 408 543 578 724 867 1086 1156 1448 1734 2172 2312 3077 3468 4344 4913 6154 6936 9231 9826 12308 14739 18462 19652 24616 29478 36924 39304 52309 58956 73848 104618 117912 156927 209236 313854 418472 627708 889253 1255416 1778506 2667759 3557012 5335518 7114024 10671036 21342072