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11257060 = 22517113293
BaseRepresentation
bin101010111100…
…010011100100
3210011220210011
4222330103210
510340211220
61041140004
7164453263
oct52742344
923156704
1011257060
116399661
12392a604
132441aa9
1416d05da
15ec565a
hexabc4e4

11257060 has 48 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 4186112.

The previous prime is 11257049. The next prime is 11257079. The reversal of 11257060 is 6075211.

11257060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 11249316 = 88^2 + 3354^2 .

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, 38274 + ... + 38566.

It is an arithmetic number, because the mean of its divisors is an integer number (527877).

Almost surely, 211257060 is an apocalyptic number.

11257060 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 11257060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

11257060 is an abundant number, since it is smaller than the sum of its proper divisors (14081036).

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

11257060 is a wasteful number, since it uses less digits than its factorization.

11257060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 11257060 is about 3355.1542438463. The cubic root of 11257060 is about 224.1170997004.

The spelling of 11257060 in words is "eleven million, two hundred fifty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 293 340 452 565 586 1130 1172 1465 1921 2260 2930 3842 4981 5860 7684 9605 9962 19210 19924 24905 33109 38420 49810 66218 99620 132436 165545 331090 562853 662180 1125706 2251412 2814265 5628530 11257060