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11029056 = 2631731109
BaseRepresentation
bin101010000100…
…101001000000
3202202100000120
4222010221000
510310412211
61032220240
7162513453
oct52045100
922670016
1011029056
116253325
12383a680
13239208c
14167149a
15e7cd06
hexa84a40

11029056 has 112 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 3317760.

The previous prime is 11029043. The next prime is 11029091. The reversal of 11029056 is 65092011.

It is a super-2 number, since 2×110290562 = 243280152502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 101130 + ... + 101238.

Almost surely, 211029056 is an apocalyptic number.

11029056 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 11029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

11029056 is an abundant number, since it is smaller than the sum of its proper divisors (21157824).

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

11029056 is a wasteful number, since it uses less digits than its factorization.

11029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11029056 is about 3321.0022583551. The cubic root of 11029056 is about 222.5936549720.

The spelling of 11029056 in words is "eleven million, twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 109 124 136 186 192 204 218 248 272 327 372 408 436 496 527 544 654 744 816 872 992 1054 1088 1308 1488 1581 1632 1744 1853 1984 2108 2616 2976 3162 3264 3379 3488 3706 4216 5232 5559 5952 6324 6758 6976 7412 8432 10137 10464 11118 12648 13516 14824 16864 20274 20928 22236 25296 27032 29648 33728 40548 44472 50592 54064 57443 59296 81096 88944 101184 108128 114886 118592 162192 172329 177888 216256 229772 324384 344658 355776 459544 648768 689316 919088 1378632 1838176 2757264 3676352 5514528 11029056