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1316115520 = 265171132141
BaseRepresentation
bin100111001110010…
…0101010001000000
310101201111121002021
41032130211101000
510143411144040
6334332531224
744420540326
oct11634452100
93351447067
101316115520
11615a05085
12308920b14
1317c88b2a5
14c6b17d16
157a82524a
hex4e725440

1316115520 has 112 divisors (see below), whose sum is σ = 3349282608. Its totient is φ = 490864640.

The previous prime is 1316115511. The next prime is 1316115527. The reversal of 1316115520 is 255116131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1617984 + 1314497536 = 1272^2 + 36256^2 .

It is not an unprimeable number, because it can be changed into a prime (1316115527) 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, 613650 + ... + 615790.

It is an arithmetic number, because the mean of its divisors is an integer number (29904309).

Almost surely, 21316115520 is an apocalyptic number.

1316115520 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 1316115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674641304).

1316115520 is an abundant number, since it is smaller than the sum of its proper divisors (2033167088).

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

1316115520 is a wasteful number, since it uses less digits than its factorization.

1316115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1316115520 is about 36278.3064654347. The cubic root of 1316115520 is about 1095.8842117542.

The spelling of 1316115520 in words is "one billion, three hundred sixteen million, one hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 113 136 160 170 226 272 320 340 452 544 565 680 904 1088 1130 1360 1808 1921 2141 2260 2720 3616 3842 4282 4520 5440 7232 7684 8564 9040 9605 10705 15368 17128 18080 19210 21410 30736 34256 36160 36397 38420 42820 61472 68512 72794 76840 85640 122944 137024 145588 153680 171280 181985 241933 291176 307360 342560 363970 483866 582352 614720 685120 727940 967732 1164704 1209665 1455880 1935464 2329408 2419330 2911760 3870928 4112861 4838660 5823520 7741856 8225722 9677320 11647040 15483712 16451444 19354640 20564305 32902888 38709280 41128610 65805776 77418560 82257220 131611552 164514440 263223104 329028880 658057760 1316115520