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1315414984 = 2313175711303
BaseRepresentation
bin100111001100111…
…1010001111001000
310101200012000010111
41032121322033020
510143221234414
6334305524104
744411562052
oct11631721710
93350160114
101315414984
11615576824
12308643634
1317c6a4480
14c69b48d2
157a7378c4
hex4e67a3c8

1315414984 has 64 divisors (see below), whose sum is σ = 2819456640. Its totient is φ = 569963520.

The previous prime is 1315414981. The next prime is 1315414987. The reversal of 1315414984 is 4894145131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1315414981) and next prime (1315414987).

It is not an unprimeable number, because it can be changed into a prime (1315414981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008877 + ... + 1010179.

It is an arithmetic number, because the mean of its divisors is an integer number (44054010).

Almost surely, 21315414984 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 1315414984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409728320).

1315414984 is an abundant number, since it is smaller than the sum of its proper divisors (1504041656).

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

1315414984 is a wasteful number, since it uses less digits than its factorization.

1315414984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 1315414984 is about 36268.6501540931. The cubic root of 1315414984 is about 1095.6897398199.

The spelling of 1315414984 in words is "one billion, three hundred fifteen million, four hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 571 884 1142 1303 1768 2284 2606 4568 5212 7423 9707 10424 14846 16939 19414 22151 29692 33878 38828 44302 59384 67756 77656 88604 126191 135512 177208 252382 287963 504764 575926 744013 1009528 1151852 1488026 2303704 2976052 5952104 9672169 12648221 19344338 25296442 38688676 50592884 77377352 101185768 164426873 328853746 657707492 1315414984