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11095272 = 2333311657
BaseRepresentation
bin101010010100…
…110011101000
3202212200212000
4222110303220
510320022042
61033451000
7163210506
oct52246350
922780760
1011095272
116299051
123870a60
1323b6266
14168b676
15e9274c
hexa94ce8

11095272 has 64 divisors (see below), whose sum is σ = 31833600. Its totient is φ = 3576960.

The previous prime is 11095261. The next prime is 11095283. The reversal of 11095272 is 27259011.

It is an interprime number because it is at equal distance from previous prime (11095261) and next prime (11095283).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5868 + ... + 7524.

It is an arithmetic number, because the mean of its divisors is an integer number (497400).

Almost surely, 211095272 is an apocalyptic number.

11095272 is a gapful number since it is divisible by the number (12) 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 11095272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916800).

11095272 is an abundant number, since it is smaller than the sum of its proper divisors (20738328).

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

11095272 is a wasteful number, since it uses less digits than its factorization.

11095272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11095272 is about 3330.9566193513. The cubic root of 11095272 is about 223.0382340417.

The spelling of 11095272 in words is "eleven million, ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1657 1674 2232 3314 3348 4971 6628 6696 9942 13256 14913 19884 29826 39768 44739 51367 59652 89478 102734 119304 154101 178956 205468 308202 357912 410936 462303 616404 924606 1232808 1386909 1849212 2773818 3698424 5547636 11095272