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21368448 = 2736229
BaseRepresentation
bin101000110000…
…0111010000000
31111012122000000
41101200322000
520432242243
62042000000
7346425453
oct121407200
944178000
1021368448
1111075482
1271a6000
13457226a
142ba349a
151d215d3
hex1460e80

21368448 has 112 divisors (see below), whose sum is σ = 64104450. Its totient is φ = 7091712.

The previous prime is 21368429. The next prime is 21368453. The reversal of 21368448 is 84486312.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 7884864 = 3672^2 + 2808^2 .

It is a super-2 number, since 2×213684482 = 913221139857408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93198 + ... + 93426.

Almost surely, 221368448 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 21368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32052225).

21368448 is an abundant number, since it is smaller than the sum of its proper divisors (42736002).

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

21368448 is an frugal number, since it uses more digits than its factorization.

21368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21368448 is about 4622.6018647511. The cubic root of 21368448 is about 277.4965960138.

The spelling of 21368448 in words is "twenty-one million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 229 243 288 324 384 432 458 486 576 648 687 729 864 916 972 1152 1296 1374 1458 1728 1832 1944 2061 2592 2748 2916 3456 3664 3888 4122 5184 5496 5832 6183 7328 7776 8244 10368 10992 11664 12366 14656 15552 16488 18549 21984 23328 24732 29312 31104 32976 37098 43968 46656 49464 55647 65952 74196 87936 93312 98928 111294 131904 148392 166941 197856 222588 263808 296784 333882 395712 445176 593568 667764 791424 890352 1187136 1335528 1780704 2374272 2671056 3561408 5342112 7122816 10684224 21368448