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11266528 = 257135373
BaseRepresentation
bin101010111110…
…100111100000
3210012101202211
4222332213200
510341012103
61041251504
7164523010
oct52764740
923171684
1011266528
1163a5789
123933b94
1324461b0
1416d3c40
15ec836d
hexabe9e0

11266528 has 96 divisors (see below), whose sum is σ = 28195776. Its totient is φ = 4313088.

The previous prime is 11266523. The next prime is 11266553. The reversal of 11266528 is 82566211.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11266528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154300 + ... + 154372.

It is an arithmetic number, because the mean of its divisors is an integer number (293706).

Almost surely, 211266528 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 11266528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097888).

11266528 is an abundant number, since it is smaller than the sum of its proper divisors (16929248).

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

11266528 is a wasteful number, since it uses less digits than its factorization.

11266528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 11266528 is about 3356.5649107384. The cubic root of 11266528 is about 224.1799149789.

The spelling of 11266528 in words is "eleven million, two hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 73 91 104 106 112 146 182 208 212 224 292 364 371 416 424 511 584 689 728 742 848 949 1022 1168 1378 1456 1484 1696 1898 2044 2336 2756 2912 2968 3796 3869 4088 4823 5512 5936 6643 7592 7738 8176 9646 11024 11872 13286 15184 15476 16352 19292 22048 26572 27083 30368 30952 38584 50297 53144 54166 61904 77168 100594 106288 108332 123808 154336 201188 212576 216664 352079 402376 433328 704158 804752 866656 1408316 1609504 2816632 5633264 11266528