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11870768 = 2471331263
BaseRepresentation
bin101101010010…
…001000110000
3211100002122002
4231102020300
511014331033
61102233132
7202620440
oct55221060
924302562
1011870768
116778758
123b857a8
1325c8230
141810120
1510973e8
hexb52230

11870768 has 80 divisors (see below), whose sum is σ = 29331456. Its totient is φ = 4527360.

The previous prime is 11870767. The next prime is 11870779. The reversal of 11870768 is 86707811.

It is not an unprimeable number, because it can be changed into a prime (11870767) 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, 45005 + ... + 45267.

Almost surely, 211870768 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 11870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665728).

11870768 is an abundant number, since it is smaller than the sum of its proper divisors (17460688).

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

11870768 is a wasteful number, since it uses less digits than its factorization.

11870768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 11870768 is about 3445.3980902067. The cubic root of 11870768 is about 228.1180265085.

The spelling of 11870768 in words is "eleven million, eight hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 263 364 403 434 496 526 728 806 868 1052 1456 1612 1736 1841 2104 2821 3224 3419 3472 3682 4208 5642 6448 6838 7364 8153 11284 13676 14728 16306 22568 23933 27352 29456 32612 45136 47866 54704 57071 65224 95732 105989 114142 130448 191464 211978 228284 382928 423956 456568 741923 847912 913136 1483846 1695824 2967692 5935384 11870768