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1312825240 = 23532820631
BaseRepresentation
bin100111001000000…
…0001111110011000
310101111022102200001
41032100001332120
510142040401430
6334134222344
744350554556
oct11620017630
93344272601
101312825240
11614068041
123077b49b4
1317bca878c
14c64dcbd6
157a3c53ca
hex4e401f98

1312825240 has 16 divisors (see below), whose sum is σ = 2953856880. Its totient is φ = 525130080.

The previous prime is 1312825237. The next prime is 1312825247. The reversal of 1312825240 is 425282131.

It is a super-2 number, since 2×13128252402 = 3447020221562115200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312825199 and 1312825208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312825247) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16410276 + ... + 16410355.

It is an arithmetic number, because the mean of its divisors is an integer number (184616055).

Almost surely, 21312825240 is an apocalyptic number.

1312825240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312825240 is an abundant number, since it is smaller than the sum of its proper divisors (1641031640).

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

1312825240 is a wasteful number, since it uses less digits than its factorization.

1312825240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32820642 (or 32820638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1312825240 is about 36232.9303258790. The cubic root of 1312825240 is about 1094.9702152682.

The spelling of 1312825240 in words is "one billion, three hundred twelve million, eight hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 32820631 65641262 131282524 164103155 262565048 328206310 656412620 1312825240