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11274688 = 261131559
BaseRepresentation
bin101011000000…
…100111000000
3210012210222001
4223000213000
510341242223
61041353344
7164555545
oct53004700
923183861
1011274688
116400927
123938854
132449b19
1416d6bcc
15eca9ad
hexac09c0

11274688 has 28 divisors (see below), whose sum is σ = 22585680. Its totient is φ = 5583872.

The previous prime is 11274667. The next prime is 11274719. The reversal of 11274688 is 88647211.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6453 + ... + 8011.

Almost surely, 211274688 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 11274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292840).

11274688 is an abundant number, since it is smaller than the sum of its proper divisors (11310992).

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

11274688 is a wasteful number, since it uses less digits than its factorization.

11274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 11274688 is about 3357.7802191329. The cubic root of 11274688 is about 224.2340241255.

The spelling of 11274688 in words is "eleven million, two hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1559 1808 3118 3616 6236 7232 12472 24944 49888 99776 176167 352334 704668 1409336 2818672 5637344 11274688