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11295420 = 2235792383
BaseRepresentation
bin101011000101…
…101010111100
3210020212101220
4223011222330
510342423140
61042033340
7165003153
oct53055274
923225356
1011295420
116415464
123948850
1324563a6
14170059a
15ed1bd0
hexac5abc

11295420 has 48 divisors (see below), whose sum is σ = 32040960. Its totient is φ = 2972736.

The previous prime is 11295409. The next prime is 11295433. The reversal of 11295420 is 2459211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3549 + ... + 5931.

It is an arithmetic number, because the mean of its divisors is an integer number (667520).

Almost surely, 211295420 is an apocalyptic number.

11295420 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 11295420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020480).

11295420 is an abundant number, since it is smaller than the sum of its proper divisors (20745540).

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

11295420 is a wasteful number, since it uses less digits than its factorization.

11295420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11295420 is about 3360.8659598383. The cubic root of 11295420 is about 224.3713811641.

The spelling of 11295420 in words is "eleven million, two hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2383 4740 4766 7149 9532 11915 14298 23830 28596 35745 47660 71490 142980 188257 376514 564771 753028 941285 1129542 1882570 2259084 2823855 3765140 5647710 11295420