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1390125568 = 2913732861
BaseRepresentation
bin101001011011011…
…1010001000000000
310120212202200210011
41102312322020000
510321333004233
6345535114304
746306605136
oct12266721000
93525680704
101390125568
11653764a07
12329672994
13192002110
14d28a1756
15820940cd
hex52dba200

1390125568 has 80 divisors (see below), whose sum is σ = 3033227736. Its totient is φ = 632586240.

The previous prime is 1390125563. The next prime is 1390125577. The reversal of 1390125568 is 8655210931.

It can be written as a sum of positive squares in 4 ways, for example, as 1041481984 + 348643584 = 32272^2 + 18672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1390125568.

It is not an unprimeable number, because it can be changed into a prime (1390125563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484458 + ... + 487318.

Almost surely, 21390125568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516613868).

1390125568 is an abundant number, since it is smaller than the sum of its proper divisors (1643102168).

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

1390125568 is an equidigital number, since it uses as much as digits as its factorization.

1390125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 1390125568 is about 37284.3877246228. The cubic root of 1390125568 is about 1116.0526347310.

The spelling of 1390125568 in words is "one billion, three hundred ninety million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 256 292 416 512 584 832 949 1168 1664 1898 2336 2861 3328 3796 4672 5722 6656 7592 9344 11444 15184 18688 22888 30368 37193 37376 45776 60736 74386 91552 121472 148772 183104 208853 242944 297544 366208 417706 485888 595088 732416 835412 1190176 1464832 1670824 2380352 2715089 3341648 4760704 5430178 6683296 9521408 10860356 13366592 19042816 21720712 26733184 43441424 53466368 86882848 106932736 173765696 347531392 695062784 1390125568