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11076642 = 233415003
BaseRepresentation
bin101010010000…
…010000100010
3202211202022000
4222100100202
510313423032
61033224430
7163102263
oct52202042
922752260
1011076642
116286055
123862116
1323aa935
14168496a
15e8be7c
hexa90422

11076642 has 32 divisors (see below), whose sum is σ = 25220160. Its totient is φ = 3601440.

The previous prime is 11076607. The next prime is 11076643. The reversal of 11076642 is 24667011.

11076642 is a `hidden beast` number, since 1 + 10 + 7 + 6 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11076643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (788130).

Almost surely, 211076642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11076642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610080).

11076642 is an abundant number, since it is smaller than the sum of its proper divisors (14143518).

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

11076642 is a wasteful number, since it uses less digits than its factorization.

11076642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11076642 is about 3328.1589505311. The cubic root of 11076642 is about 222.9133300847.

The spelling of 11076642 in words is "eleven million, seventy-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 5003 10006 15009 30018 45027 90054 135081 205123 270162 410246 615369 1230738 1846107 3692214 5538321 11076642