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21372640 = 255312139
BaseRepresentation
bin101000110000…
…1111011100000
31111012211202021
41101201323200
520432411030
62042031224
7346443622
oct121417340
944184667
1021372640
1111078643
1271a8514
134574143
142ba4c12
151d2297a
hex1461ee0

21372640 has 72 divisors (see below), whose sum is σ = 52549560. Its totient is φ = 8213760.

The previous prime is 21372629. The next prime is 21372641. The reversal of 21372640 is 4627312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21372641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153691 + ... + 153829.

It is an arithmetic number, because the mean of its divisors is an integer number (729855).

Almost surely, 221372640 is an apocalyptic number.

21372640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274780).

21372640 is an abundant number, since it is smaller than the sum of its proper divisors (31176920).

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

21372640 is a wasteful number, since it uses less digits than its factorization.

21372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 21372640 is about 4623.0552668122. The cubic root of 21372640 is about 277.5147409857.

Adding to 21372640 its reverse (4627312), we get a palindrome (25999952).

The spelling of 21372640 in words is "twenty-one million, three hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 139 155 160 248 278 310 496 556 620 695 961 992 1112 1240 1390 1922 2224 2480 2780 3844 4309 4448 4805 4960 5560 7688 8618 9610 11120 15376 17236 19220 21545 22240 30752 34472 38440 43090 68944 76880 86180 133579 137888 153760 172360 267158 344720 534316 667895 689440 1068632 1335790 2137264 2671580 4274528 5343160 10686320 21372640