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10968804 = 22337111319
BaseRepresentation
bin101001110101…
…111011100100
3202122021101000
4221311323210
510302000204
61031033300
7162143010
oct51657344
922567330
1010968804
116212030
12380b830
132370822
141657540
15e6a039
hexa75ee4

10968804 has 96 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 2846880.

The previous prime is 10968799. The next prime is 10968817. The reversal of 10968804 is 40886901.

It is a happy number.

It is a super-2 number, since 2×109688042 = 240629322380832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7657 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (369600).

Almost surely, 210968804 is an apocalyptic number.

10968804 is a gapful number since it is divisible by the number (14) 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 10968804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

10968804 is an abundant number, since it is smaller than the sum of its proper divisors (24512796).

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

10968804 is a wasteful number, since it uses less digits than its factorization.

10968804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10968804 is about 3311.9184772576. The cubic root of 10968804 is about 222.1875697449.

The spelling of 10968804 in words is "ten million, nine hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1319 1386 2079 2638 2772 3957 4158 5276 7914 8316 9233 11871 14509 15828 18466 23742 27699 29018 35613 36932 43527 47484 55398 58036 71226 83097 87054 101563 110796 130581 142452 166194 174108 203126 249291 261162 304689 332388 391743 406252 498582 522324 609378 783486 914067 997164 1218756 1566972 1828134 2742201 3656268 5484402 10968804