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11264260 = 2257611319
BaseRepresentation
bin101010111110…
…000100000100
3210012021122211
4222332010010
510340424020
61041233204
7164513260
oct52760404
923167584
1011264260
1163a4007
123932804
132445157
1416d30a0
15ec785a
hexabe104

11264260 has 48 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 3795840.

The previous prime is 11264257. The next prime is 11264311. The reversal of 11264260 is 6246211.

It is a super-4 number, since 4×112642604 (a number of 29 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7881 + ... + 9199.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 211264260 is an apocalyptic number.

11264260 is a gapful number since it is divisible by the number (10) 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 11264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

11264260 is an abundant number, since it is smaller than the sum of its proper divisors (16233980).

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

11264260 is a wasteful number, since it uses less digits than its factorization.

11264260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 11264260 is about 3356.2270483387. The cubic root of 11264260 is about 224.1648711793.

The spelling of 11264260 in words is "eleven million, two hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1319 1708 2135 2638 4270 5276 6595 8540 9233 13190 18466 26380 36932 46165 80459 92330 160918 184660 321836 402295 563213 804590 1126426 1609180 2252852 2816065 5632130 11264260