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11395125 = 325371447
BaseRepresentation
bin101011011110…
…000000110101
3210102221011200
4223132000311
510404121000
61044123113
7165566640
oct53360065
923387150
1011395125
116483365
123996499
13248c8a1
141728a57
151001500
hexade035

11395125 has 48 divisors (see below), whose sum is σ = 23492352. Its totient is φ = 5205600.

The previous prime is 11395037. The next prime is 11395127. The reversal of 11395125 is 52159311.

11395125 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11395125 - 210 = 11394101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11395127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7152 + ... + 8598.

It is an arithmetic number, because the mean of its divisors is an integer number (489424).

Almost surely, 211395125 is an apocalyptic number.

11395125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11395125 is an abundant number, since it is smaller than the sum of its proper divisors (12097227).

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

11395125 is a wasteful number, since it uses less digits than its factorization.

11395125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1462 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 11395125 is about 3375.6666008360. Note that the first 4 decimals coincide. The cubic root of 11395125 is about 225.0296257286.

The spelling of 11395125 in words is "eleven million, three hundred ninety-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1447 1575 2625 4341 7235 7875 10129 13023 21705 30387 36175 50645 65115 91161 108525 151935 180875 253225 325575 455805 542625 759675 1266125 1627875 2279025 3798375 11395125