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21211904 = 28721989
BaseRepresentation
bin101000011101…
…0101100000000
31110220200021002
41100322230000
520412240104
62034351132
7345204200
oct120725400
943820232
1021211904
1110a788aa
12712b4a8
134518c2c
142b62400
151ce001e
hex143ab00

21211904 has 108 divisors (see below), whose sum is σ = 52428600. Its totient is φ = 8515584.

The previous prime is 21211901. The next prime is 21211909. The reversal of 21211904 is 40911212.

It is not an unprimeable number, because it can be changed into a prime (21211901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238292 + ... + 238380.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 221211904 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 21211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214300).

21211904 is an abundant number, since it is smaller than the sum of its proper divisors (31216696).

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

21211904 is an equidigital number, since it uses as much as digits as its factorization.

21211904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 21211904 is about 4605.6382836693. The cubic root of 21211904 is about 276.8172931827.

The spelling of 21211904 in words is "twenty-one million, two hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 89 98 112 128 133 152 178 196 224 256 266 304 356 392 448 532 608 623 712 784 896 931 1064 1216 1246 1424 1568 1691 1792 1862 2128 2432 2492 2848 3136 3382 3724 4256 4361 4864 4984 5696 6272 6764 7448 8512 8722 9968 11392 11837 12544 13528 14896 17024 17444 19936 22784 23674 27056 29792 34048 34888 39872 47348 54112 59584 69776 79744 82859 94696 108224 119168 139552 159488 165718 189392 216448 238336 279104 331436 378784 432896 558208 662872 757568 1116416 1325744 1515136 2651488 3030272 5302976 10605952 21211904