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11387025 = 32521317229
BaseRepresentation
bin101011011100…
…000010010001
3210102112001200
4223130002101
510403341100
61044021413
7165534216
oct53340221
923375050
1011387025
116478271
123991869
132488cb0
141725b0d
15eede00
hexadc091

11387025 has 72 divisors (see below), whose sum is σ = 23357880. Its totient is φ = 5253120.

The previous prime is 11387021. The next prime is 11387087. The reversal of 11387025 is 52078311.

It can be written as a sum of positive squares in 12 ways, for example, as 1140624 + 10246401 = 1068^2 + 3201^2 .

It is not a de Polignac number, because 11387025 - 22 = 11387021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11387025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11387021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49611 + ... + 49839.

It is an arithmetic number, because the mean of its divisors is an integer number (324415).

Almost surely, 211387025 is an apocalyptic number.

11387025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11387025 is an abundant number, since it is smaller than the sum of its proper divisors (11970855).

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

11387025 is a wasteful number, since it uses less digits than its factorization.

11387025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11387025 is about 3374.4666245201. The cubic root of 11387025 is about 224.9762937987.

The spelling of 11387025 in words is "eleven million, three hundred eighty-seven thousand, twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 229 255 325 425 585 663 687 765 975 1105 1145 1275 1989 2061 2925 2977 3315 3435 3825 3893 5525 5725 8931 9945 10305 11679 14885 16575 17175 19465 26793 35037 44655 49725 50609 51525 58395 74425 97325 133965 151827 175185 223275 253045 291975 455481 669825 759135 875925 1265225 2277405 3795675 11387025