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11272734 = 23211172197
BaseRepresentation
bin101011000000…
…001000011110
3210012201021200
4223000020132
510341211414
61041340330
7164550054
oct53001036
923181250
1011272734
1163aa410
1239376a6
132448c75
1416d61d4
15eca109
hexac021e

11272734 has 72 divisors (see below), whose sum is σ = 28447848. Its totient is φ = 3198720.

The previous prime is 11272721. The next prime is 11272759. The reversal of 11272734 is 43727211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11272698 and 11272707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57124 + ... + 57320.

It is an arithmetic number, because the mean of its divisors is an integer number (395109).

Almost surely, 211272734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223924).

11272734 is an abundant number, since it is smaller than the sum of its proper divisors (17175114).

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

11272734 is a wasteful number, since it uses less digits than its factorization.

11272734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 11272734 is about 3357.4892404891. The cubic root of 11272734 is about 224.2210694848.

Adding to 11272734 its reverse (43727211), we get a palindrome (54999945).

The spelling of 11272734 in words is "eleven million, two hundred seventy-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 197 198 289 306 374 394 561 578 591 867 1122 1182 1683 1734 1773 2167 2601 3179 3349 3366 3546 4334 5202 6358 6501 6698 9537 10047 13002 19074 19503 20094 28611 30141 36839 39006 56933 57222 60282 73678 110517 113866 170799 221034 331551 341598 512397 626263 663102 1024794 1252526 1878789 3757578 5636367 11272734