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21096768 = 2637111427
BaseRepresentation
bin101000001111…
…0100101000000
31110200211022210
41100132211000
520400044033
62032102120
7344214420
oct120364500
943624283
1021096768
11109aa350
127094940
1344a86c4
142b32480
151cbad63
hex141e940

21096768 has 112 divisors (see below), whose sum is σ = 69640704. Its totient is φ = 5475840.

The previous prime is 21096763. The next prime is 21096787. The reversal of 21096768 is 86769012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21096763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14071 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (621792).

Almost surely, 221096768 is an apocalyptic number.

21096768 is a gapful number since it is divisible by the number (28) 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 21096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34820352).

21096768 is an abundant number, since it is smaller than the sum of its proper divisors (48543936).

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

21096768 is a wasteful number, since it uses less digits than its factorization.

21096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 21096768 is about 4593.1218141913. The cubic root of 21096768 is about 276.3155391410.

The spelling of 21096768 in words is "twenty-one million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1427 1848 2112 2464 2854 3696 4281 4928 5708 7392 8562 9989 11416 14784 15697 17124 19978 22832 29967 31394 34248 39956 45664 47091 59934 62788 68496 79912 91328 94182 109879 119868 125576 136992 159824 188364 219758 239736 251152 273984 319648 329637 376728 439516 479472 502304 639296 659274 753456 879032 958944 1004608 1318548 1506912 1758064 1917888 2637096 3013824 3516128 5274192 7032256 10548384 21096768