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11079468 = 22322313381
BaseRepresentation
bin101010010000…
…111100101100
3202211220011200
4222100330230
510314020333
61033245500
7163113441
oct52207454
922756150
1011079468
116288194
123863890
1323abcca
1416859c8
15e8cc13
hexa90f2c

11079468 has 36 divisors (see below), whose sum is σ = 29226288. Its totient is φ = 3532320.

The previous prime is 11079463. The next prime is 11079473. The reversal of 11079468 is 86497011.

It is an interprime number because it is at equal distance from previous prime (11079463) and next prime (11079473).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×110794682 = 245509222326048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11079463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5863 + ... + 7518.

Almost surely, 211079468 is an apocalyptic number.

11079468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11079468 is an abundant number, since it is smaller than the sum of its proper divisors (18146820).

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

11079468 is a wasteful number, since it uses less digits than its factorization.

11079468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11079468 is about 3328.5834825042. The cubic root of 11079468 is about 222.9322858748.

The spelling of 11079468 in words is "eleven million, seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 13381 26762 40143 53524 80286 120429 160572 240858 307763 481716 615526 923289 1231052 1846578 2769867 3693156 5539734 11079468