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11678816 = 253161193
BaseRepresentation
bin101100100011…
…010001100000
3210222100022202
4230203101200
510442210231
61054152332
7201161012
oct54432140
923870282
1011678816
116657516
123ab26a8
13255ba56
1417a01b2
15105a5cb
hexb23460

11678816 has 48 divisors (see below), whose sum is σ = 24248448. Its totient is φ = 5529600.

The previous prime is 11678783. The next prime is 11678827. The reversal of 11678816 is 61887611.

It is a self number, because there is not a number n which added to its sum of digits gives 11678816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60416 + ... + 60608.

It is an arithmetic number, because the mean of its divisors is an integer number (505176).

Almost surely, 211678816 is an apocalyptic number.

11678816 is a gapful number since it is divisible by the number (16) 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 11678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124224).

11678816 is an abundant number, since it is smaller than the sum of its proper divisors (12569632).

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

11678816 is a wasteful number, since it uses less digits than its factorization.

11678816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 16128, while the sum is 38.

The square root of 11678816 is about 3417.4282728391. The cubic root of 11678816 is about 226.8817719648.

The spelling of 11678816 in words is "eleven million, six hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 193 244 248 386 488 496 772 976 992 1544 1891 1952 3088 3782 5983 6176 7564 11773 11966 15128 23546 23932 30256 47092 47864 60512 94184 95728 188368 191456 364963 376736 729926 1459852 2919704 5839408 11678816