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11057088 = 263719433
BaseRepresentation
bin101010001011…
…011111000000
3202210202110210
4222023133000
510312311323
61032554120
7162661260
oct52133700
922722423
1011057088
116272399
123852940
1323a1a73
14167b7a0
15e86293
hexa8b7c0

11057088 has 112 divisors (see below), whose sum is σ = 35275520. Its totient is φ = 2985984.

The previous prime is 11057083. The next prime is 11057099. The reversal of 11057088 is 88075011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057083) 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 15 ways as a sum of consecutive naturals, for example, 25320 + ... + 25752.

It is an arithmetic number, because the mean of its divisors is an integer number (314960).

Almost surely, 211057088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637760).

11057088 is an abundant number, since it is smaller than the sum of its proper divisors (24218432).

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

11057088 is a wasteful number, since it uses less digits than its factorization.

11057088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 11057088 is about 3325.2199927223. The cubic root of 11057088 is about 222.7820804779.

The spelling of 11057088 in words is "eleven million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 433 448 456 532 608 672 798 866 912 1064 1216 1299 1344 1596 1732 1824 2128 2598 3031 3192 3464 3648 4256 5196 6062 6384 6928 8227 8512 9093 10392 12124 12768 13856 16454 18186 20784 24248 24681 25536 27712 32908 36372 41568 48496 49362 57589 65816 72744 83136 96992 98724 115178 131632 145488 172767 193984 197448 230356 263264 290976 345534 394896 460712 526528 581952 691068 789792 921424 1382136 1579584 1842848 2764272 3685696 5528544 11057088