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11275056 = 24321319317
BaseRepresentation
bin101011000000…
…101100110000
3210012211110200
4223000230300
510341300211
61041355200
7164556612
oct53005460
923184420
1011275056
116401131
123938b00
13244a040
1416d6db2
15ecab56
hexac0b30

11275056 has 120 divisors (see below), whose sum is σ = 35883120. Its totient is φ = 3276288.

The previous prime is 11275051. The next prime is 11275079. The reversal of 11275056 is 65057211.

It is not an unprimeable number, because it can be changed into a prime (11275051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35410 + ... + 35726.

It is an arithmetic number, because the mean of its divisors is an integer number (299026).

Almost surely, 211275056 is an apocalyptic number.

11275056 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 11275056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941560).

11275056 is an abundant number, since it is smaller than the sum of its proper divisors (24608064).

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

11275056 is a wasteful number, since it uses less digits than its factorization.

11275056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11275056 is about 3357.8350167928. The cubic root of 11275056 is about 224.2364637266.

The spelling of 11275056 in words is "eleven million, two hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 317 342 456 468 494 624 634 684 741 912 936 951 988 1268 1368 1482 1872 1902 1976 2223 2536 2736 2853 2964 3804 3952 4121 4446 5072 5706 5928 6023 7608 8242 8892 11412 11856 12046 12363 15216 16484 17784 18069 22824 24092 24726 32968 35568 36138 37089 45648 48184 49452 54207 65936 72276 74178 78299 96368 98904 108414 144552 148356 156598 197808 216828 234897 289104 296712 313196 433656 469794 593424 626392 704691 867312 939588 1252784 1409382 1879176 2818764 3758352 5637528 11275056