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1315780440 = 233513843449
BaseRepresentation
bin100111001101101…
…0011011101011000
310101200212120102220
41032123103131120
510143314433230
6334321424040
744414643402
oct11633233530
93350776386
101315780440
116157a6357
1230879b020
1317c7a1910
14c6a6bb72
157a7aad10
hex4e6d3758

1315780440 has 64 divisors (see below), whose sum is σ = 4250988000. Its totient is φ = 323884032.

The previous prime is 1315780393. The next prime is 1315780447. The reversal of 1315780440 is 440875131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315780447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420165 + ... + 423284.

Almost surely, 21315780440 is an apocalyptic number.

1315780440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315780440 is an abundant number, since it is smaller than the sum of its proper divisors (2935207560).

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

1315780440 is a wasteful number, since it uses less digits than its factorization.

1315780440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843476 (or 843472 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1315780440 is about 36273.6879845433. The cubic root of 1315780440 is about 1095.7912006560.

The spelling of 1315780440 in words is "one billion, three hundred fifteen million, seven hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 843449 1686898 2530347 3373796 4217245 5060694 6747592 8434490 10121388 10964837 12651735 16868980 20242776 21929674 25303470 32894511 33737960 43859348 50606940 54824185 65789022 87718696 101213880 109648370 131578044 164472555 219296740 263156088 328945110 438593480 657890220 1315780440