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11338425 = 3252723313
BaseRepresentation
bin101011010000…
…001010111001
3210100001101200
4223100022321
510400312200
61043004413
7165242430
oct53201271
923301350
1011338425
1164447aa
123969709
13246cb37
141712117
15ede800
hexad02b9

11338425 has 72 divisors (see below), whose sum is σ = 24296064. Its totient is φ = 4942080.

The previous prime is 11338417. The next prime is 11338429. The reversal of 11338425 is 52483311.

It is a happy number.

It is not a de Polignac number, because 11338425 - 23 = 11338417 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11338429) 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 71 ways as a sum of consecutive naturals, for example, 36069 + ... + 36381.

Almost surely, 211338425 is an apocalyptic number.

11338425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11338425 is an abundant number, since it is smaller than the sum of its proper divisors (12957639).

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

11338425 is a wasteful number, since it uses less digits than its factorization.

11338425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11338425 is about 3367.2577863894. The cubic root of 11338425 is about 224.6557699233.

The spelling of 11338425 in words is "eleven million, three hundred thirty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 313 315 345 483 525 575 805 939 1035 1449 1565 1575 1725 2191 2415 2817 4025 4695 5175 6573 7199 7245 7825 10955 12075 14085 19719 21597 23475 32865 35995 36225 50393 54775 64791 70425 98595 107985 151179 164325 179975 251965 323955 453537 492975 539925 755895 1259825 1619775 2267685 3779475 11338425