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1330860825 = 325272120713
BaseRepresentation
bin100111101010011…
…0101001100011001
310102202020201211200
41033110311030121
510211200021300
6340020544413
744660062500
oct11724651431
93382221750
101330860825
11623266488
12311852109
13182951a18
14c8a75837
157bc89200
hex4f535319

1330860825 has 54 divisors (see below), whose sum is σ = 2772921294. Its totient is φ = 608388480.

The previous prime is 1330860823. The next prime is 1330860829. The reversal of 1330860825 is 5280680331.

1330860825 is a `hidden beast` number, since 13 + 30 + 8 + 608 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 92102409 + 1238758416 = 9597^2 + 35196^2 .

It is not a de Polignac number, because 1330860825 - 21 = 1330860823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1330860825.

It is not an unprimeable number, because it can be changed into a prime (1330860823) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 49332 + ... + 71381.

Almost surely, 21330860825 is an apocalyptic number.

1330860825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330860825 is an abundant number, since it is smaller than the sum of its proper divisors (1442060469).

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

1330860825 is a wasteful number, since it uses less digits than its factorization.

1330860825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120743 (or 120728 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1330860825 is about 36480.9652421643. The cubic root of 1330860825 is about 1099.9616584432.

The spelling of 1330860825 in words is "one billion, three hundred thirty million, eight hundred sixty thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 120713 362139 603565 844991 1086417 1810695 2534973 3017825 4224955 5432085 5914937 7604919 9053475 12674865 17744811 21124775 27160425 29574685 38024595 53234433 63374325 88724055 147873425 190122975 266172165 443620275 1330860825