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21237372 = 223213231973
BaseRepresentation
bin101000100000…
…0111001111100
31110221222012100
41101000321330
520414043442
62035105100
7345341352
oct121007174
943858170
1021237372
1110a95a52
127142190
1345276c0
142b6b7d2
151ce784c
hex1440e7c

21237372 has 72 divisors (see below), whose sum is σ = 60357024. Its totient is φ = 6247296.

The previous prime is 21237353. The next prime is 21237389. The reversal of 21237372 is 27373212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9778 + ... + 11750.

It is an arithmetic number, because the mean of its divisors is an integer number (838292).

Almost surely, 221237372 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 21237372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178512).

21237372 is an abundant number, since it is smaller than the sum of its proper divisors (39119652).

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

21237372 is a wasteful number, since it uses less digits than its factorization.

21237372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2014 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 21237372 is about 4608.4023261864. The cubic root of 21237372 is about 276.9280354525.

It can be divided in two parts, 21237 and 372, that added together give a square (21609 = 1472).

The spelling of 21237372 in words is "twenty-one million, two hundred thirty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 1973 2691 3588 3946 5382 5919 7892 10764 11838 17757 23676 25649 35514 45379 51298 71028 76947 90758 102596 136137 153894 181516 230841 272274 307788 408411 461682 544548 589927 816822 923364 1179854 1633644 1769781 2359708 3539562 5309343 7079124 10618686 21237372