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1315822640 = 245112365011
BaseRepresentation
bin100111001101101…
…1101110000110000
310101200221201022212
41032123131300300
510143322311030
6334322351252
744415210416
oct11633356060
93350851285
101315822640
11615825030
123087bb528
1317c7b7ba2
14c6a7d2b6
157a7b8595
hex4e6ddc30

1315822640 has 80 divisors (see below), whose sum is σ = 3482562816. Its totient is φ = 457670400.

The previous prime is 1315822633. The next prime is 1315822681. The reversal of 1315822640 is 462285131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1315822597 and 1315822606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12266 + ... + 52745.

Almost surely, 21315822640 is an apocalyptic number.

1315822640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315822640 is an abundant number, since it is smaller than the sum of its proper divisors (2166740176).

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

1315822640 is a wasteful number, since it uses less digits than its factorization.

1315822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65058 (or 65052 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1315822640 is about 36274.2696687335. The cubic root of 1315822640 is about 1095.8029153497.

The spelling of 1315822640 in words is "one billion, three hundred fifteen million, eight hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 65011 130022 260044 325055 520088 650110 715121 1040176 1300220 1430242 1495253 2600440 2860484 2990506 3575605 5200880 5720968 5981012 7151210 7476265 11441936 11962024 14302420 14952530 16447783 23924048 28604840 29905060 32895566 57209680 59810120 65791132 82238915 119620240 131582264 164477830 263164528 328955660 657911320 1315822640