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1313078520 = 2335136531289
BaseRepresentation
bin100111001000011…
…1111110011111000
310101111210022002210
41032100333303320
510142122003040
6334143455120
744352661155
oct11620776370
93344708083
101313078520
11614220366
123078b74a0
1317c066b50
14c656722c
157a425480
hex4e43fcf8

1313078520 has 128 divisors (see below), whose sum is σ = 4252046400. Its totient is φ = 322473984.

The previous prime is 1313078479. The next prime is 1313078537. The reversal of 1313078520 is 258703131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018036 + ... + 1019324.

Almost surely, 21313078520 is an apocalyptic number.

1313078520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313078520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126023200).

1313078520 is an abundant number, since it is smaller than the sum of its proper divisors (2938967880).

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

1313078520 is a wasteful number, since it uses less digits than its factorization.

1313078520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1313078520 is about 36236.4253203872. The cubic root of 1313078520 is about 1095.0406273369.

The spelling of 1313078520 in words is "one billion, three hundred thirteen million, seventy-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 653 780 1289 1306 1560 1959 2578 2612 3265 3867 3918 5156 5224 6445 6530 7734 7836 8489 9795 10312 12890 13060 15468 15672 16757 16978 19335 19590 25467 25780 26120 30936 33514 33956 38670 39180 42445 50271 50934 51560 67028 67912 77340 78360 83785 84890 100542 101868 127335 134056 154680 167570 169780 201084 203736 251355 254670 335140 339560 402168 502710 509340 670280 841717 1005420 1018680 1683434 2010840 2525151 3366868 4208585 5050302 6733736 8417170 10100604 10942321 12625755 16834340 20201208 21884642 25251510 32826963 33668680 43769284 50503020 54711605 65653926 87538568 101006040 109423210 131307852 164134815 218846420 262615704 328269630 437692840 656539260 1313078520