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11295140 = 22517139239
BaseRepresentation
bin101011000101…
…100110100100
3210020212000112
4223011212210
510342421030
61042032152
7165002303
oct53054644
923225015
1011295140
11641522a
123948658
13245621c
14170043a
15ed1a95
hexac59a4

11295140 has 48 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 4204032.

The previous prime is 11295127. The next prime is 11295143. The reversal of 11295140 is 4159211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11295143) by changing a digit.

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, 47141 + ... + 47379.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 211295140 is an apocalyptic number.

11295140 is a gapful number since it is divisible by the number (10) 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 11295140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

11295140 is an abundant number, since it is smaller than the sum of its proper divisors (14106460).

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

11295140 is a wasteful number, since it uses less digits than its factorization.

11295140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 11295140 is about 3360.8243036493. The cubic root of 11295140 is about 224.3695271824.

The spelling of 11295140 in words is "eleven million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 239 278 340 478 556 695 956 1195 1390 2363 2390 2780 4063 4726 4780 8126 9452 11815 16252 20315 23630 33221 40630 47260 66442 81260 132884 166105 332210 564757 664420 1129514 2259028 2823785 5647570 11295140