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11042496 = 2632191009
BaseRepresentation
bin101010000111…
…111011000000
3202210000110100
4222013323000
510311324441
61032402400
7162600603
oct52077300
922700410
1011042496
116262433
123846400
13239822a
14167633a
15e81cb6
hexa87ec0

11042496 has 84 divisors (see below), whose sum is σ = 33350200. Its totient is φ = 3483648.

The previous prime is 11042453. The next prime is 11042501. The reversal of 11042496 is 69424011.

It is an unprimeable number.

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, 10440 + ... + 11448.

Almost surely, 211042496 is an apocalyptic number.

11042496 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 11042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675100).

11042496 is an abundant number, since it is smaller than the sum of its proper divisors (22307704).

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

11042496 is a wasteful number, since it uses less digits than its factorization.

11042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11042496 is about 3323.0251278015. The cubic root of 11042496 is about 222.6840357605.

It can be divided in two parts, 1104 and 2496, that added together give a square (3600 = 602).

The spelling of 11042496 in words is "eleven million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1009 1216 1368 1824 2018 2736 3027 3648 4036 5472 6054 8072 9081 10944 12108 16144 18162 19171 24216 32288 36324 38342 48432 57513 64576 72648 76684 96864 115026 145296 153368 172539 193728 230052 290592 306736 345078 460104 581184 613472 690156 920208 1226944 1380312 1840416 2760624 3680832 5521248 11042496