Search a number
-
+
1315525968 = 243314292131
BaseRepresentation
bin100111001101001…
…0101010101010000
310101200101122101000
41032122111111100
510143233312333
6334312142000
744412533451
oct11632252520
93350348330
101315525968
11615642149
12308697900
1317c712b43
14c6a03128
157a75a713
hex4e695550

1315525968 has 80 divisors (see below), whose sum is σ = 3780462400. Its totient is φ = 437996160.

The previous prime is 1315525903. The next prime is 1315525969. The reversal of 1315525968 is 8695255131.

1315525968 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 52 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315525969) 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, 616263 + ... + 618393.

It is an arithmetic number, because the mean of its divisors is an integer number (47255780).

Almost surely, 21315525968 is an apocalyptic number.

1315525968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1315525968 is an abundant number, since it is smaller than the sum of its proper divisors (2464936432).

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

1315525968 is a wasteful number, since it uses less digits than its factorization.

1315525968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3565 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 1315525968 is about 36270.1801484360. The cubic root of 1315525968 is about 1095.7205540779.

The spelling of 1315525968 in words is "one billion, three hundred fifteen million, five hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1429 2131 2858 4262 4287 5716 6393 8524 8574 11432 12786 12861 17048 17148 19179 22864 25572 25722 34096 34296 38358 38583 51144 51444 57537 68592 76716 77166 102288 102888 115074 153432 154332 205776 230148 306864 308664 460296 617328 920592 3045199 6090398 9135597 12180796 18271194 24361592 27406791 36542388 48723184 54813582 73084776 82220373 109627164 146169552 164440746 219254328 328881492 438508656 657762984 1315525968