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11077696 = 26779313
BaseRepresentation
bin101010010000…
…100001000000
3202211210202001
4222100201000
510313441241
61033233344
7163105330
oct52204100
922753661
1011077696
116286923
123862854
1323ab266
1416850c0
15e8c431
hexa90840

11077696 has 56 divisors (see below), whose sum is σ = 25521920. Its totient is φ = 4672512.

The previous prime is 11077687. The next prime is 11077721. The reversal of 11077696 is 69677011.

It is a tau number, because it is divible by the number of its divisors (56).

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, 35236 + ... + 35548.

Almost surely, 211077696 is an apocalyptic number.

11077696 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 11077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760960).

11077696 is an abundant number, since it is smaller than the sum of its proper divisors (14444224).

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

11077696 is an equidigital number, since it uses as much as digits as its factorization.

11077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 11077696 is about 3328.3172925669. The cubic root of 11077696 is about 222.9204003140.

The spelling of 11077696 in words is "eleven million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 313 316 448 553 626 632 1106 1252 1264 2191 2212 2504 2528 4382 4424 5008 5056 8764 8848 10016 17528 17696 20032 24727 35056 35392 49454 70112 98908 140224 173089 197816 346178 395632 692356 791264 1384712 1582528 2769424 5538848 11077696