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11364528 = 2437149227
BaseRepresentation
bin101011010110…
…100010110000
3210101101012110
4223112202300
510402131103
61043325320
7165411510
oct53264260
923341173
1011364528
11646237a
123980840
13247b996
14171b840
15ee7403
hexad68b0

11364528 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3211008.

The previous prime is 11364511. The next prime is 11364541. The reversal of 11364528 is 82546311.

11364528 is a nontrivial binomial coefficient, being equal to C(4768, 2).

It is a junction number, because it is equal to n+sod(n) for n = 11364495 and 11364504.

It is an unprimeable number.

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, 49951 + ... + 50177.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 211364528 is an apocalyptic number.

11364528 is the 4767-th triangular number and also the 2384-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

11364528 is an abundant number, since it is smaller than the sum of its proper divisors (22561872).

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

11364528 is a wasteful number, since it uses less digits than its factorization.

11364528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11364528 is about 3371.1315607671. The cubic root of 11364528 is about 224.8280365061.

The spelling of 11364528 in words is "eleven million, three hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 227 298 336 447 454 596 681 894 908 1043 1192 1362 1589 1788 1816 2086 2384 2724 3129 3178 3576 3632 4172 4767 5448 6258 6356 7152 8344 9534 10896 12516 12712 16688 19068 25032 25424 33823 38136 50064 67646 76272 101469 135292 202938 236761 270584 405876 473522 541168 710283 811752 947044 1420566 1623504 1894088 2841132 3788176 5682264 11364528