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21372672 = 283171637
BaseRepresentation
bin101000110000…
…1111100000000
31111012211210110
41101201330000
520432411142
62042031320
7346443666
oct121417400
944184713
1021372672
1111078672
1271a8540
134574169
142ba4c36
151d2299c
hex1461f00

21372672 has 72 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 6701056.

The previous prime is 21372653. The next prime is 21372679. The reversal of 21372672 is 27627312.

It is a super-2 number, since 2×213726722 = 913582216839168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21372679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12238 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 221372672 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 21372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

21372672 is an abundant number, since it is smaller than the sum of its proper divisors (38892624).

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

21372672 is a wasteful number, since it uses less digits than its factorization.

21372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1659 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 21372672 is about 4623.0587277256. The cubic root of 21372672 is about 277.5148794878.

Adding to 21372672 its reverse (27627312), we get a palindrome (48999984).

The spelling of 21372672 in words is "twenty-one million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 1637 2176 3264 3274 4352 4911 6528 6548 9822 13056 13096 19644 26192 27829 39288 52384 55658 78576 83487 104768 111316 157152 166974 209536 222632 314304 333948 419072 445264 628608 667896 890528 1257216 1335792 1781056 2671584 3562112 5343168 7124224 10686336 21372672