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11926816 = 2511311093
BaseRepresentation
bin101101011111…
…110100100000
3211102221111221
4231133310200
511023124231
61103344424
7203243026
oct55376440
924387457
1011926816
116806880
123bb2114
1326178b5
141826716
1510a8d11
hexb5fd20

11926816 has 48 divisors (see below), whose sum is σ = 26466048. Its totient is φ = 5241600.

The previous prime is 11926799. The next prime is 11926841. The reversal of 11926816 is 61862911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10366 + ... + 11458.

It is an arithmetic number, because the mean of its divisors is an integer number (551376).

Almost surely, 211926816 is an apocalyptic number.

11926816 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 11926816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233024).

11926816 is an abundant number, since it is smaller than the sum of its proper divisors (14539232).

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

11926816 is a wasteful number, since it uses less digits than its factorization.

11926816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 11926816 is about 3453.5222599543. The cubic root of 11926816 is about 228.4764837813.

It can be divided in two parts, 1192 and 6816, that added together give a palindrome (8008).

The spelling of 11926816 in words is "eleven million, nine hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1093 1364 2186 2728 4372 5456 8744 10912 12023 17488 24046 33883 34976 48092 67766 96184 135532 192368 271064 372713 384736 542128 745426 1084256 1490852 2981704 5963408 11926816