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1313260032 = 2937671823
BaseRepresentation
bin100111001000110…
…1100001000000000
310101112010112002110
41032101230020000
510142143310112
6334151415320
744354345310
oct11621541000
93345115073
101313260032
11614334777
12307984540
1317c0cb656
14c65b3440
157a45e13c
hex4e46c200

1313260032 has 160 divisors (see below), whose sum is σ = 4060311552. Its totient is φ = 369414144.

The previous prime is 1313260021. The next prime is 1313260057. The reversal of 1313260032 is 2300623131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1313259990 and 1313260008.

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, 719473 + ... + 721295.

Almost surely, 21313260032 is an apocalyptic number.

1313260032 is a gapful number since it is divisible by the number (12) 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 1313260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030155776).

1313260032 is an abundant number, since it is smaller than the sum of its proper divisors (2747051520).

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

1313260032 is an equidigital number, since it uses as much as digits as its factorization.

1313260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1313260032 is about 36238.9297855221. The cubic root of 1313260032 is about 1095.0910822674.

Adding to 1313260032 its reverse (2300623131), we get a palindrome (3613883163).

The spelling of 1313260032 in words is "one billion, three hundred thirteen million, two hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1072 1344 1407 1536 1608 1792 1823 1876 2144 2688 2814 3216 3584 3646 3752 4288 5376 5469 5628 6432 7292 7504 8576 10752 10938 11256 12761 12864 14584 15008 17152 21876 22512 25522 25728 29168 30016 34304 38283 43752 45024 51044 51456 58336 60032 76566 87504 90048 102088 102912 116672 120064 122141 153132 175008 180096 204176 233344 240128 244282 306264 350016 360192 366423 408352 466688 488564 612528 700032 720384 732846 816704 854987 933376 977128 1225056 1400064 1465692 1633408 1709974 1954256 2450112 2564961 2800128 2931384 3266816 3419948 3908512 4900224 5129922 5862768 6533632 6839896 7817024 9800448 10259844 11725536 13679792 15634048 19600896 20519688 23451072 27359584 31268096 41039376 46902144 54719168 62536192 82078752 93804288 109438336 164157504 187608576 218876672 328315008 437753344 656630016 1313260032