Search a number
-
+
1296364968 = 233238534673
BaseRepresentation
bin100110101000100…
…1111010110101000
310100100100011102100
41031101033112220
510123332134333
6332345333400
744060630463
oct11521172650
93310304370
101296364968
11605845208
12302197260
13178764582
14c42562da
1578c23213
hex4d44f5a8

1296364968 has 48 divisors (see below), whose sum is σ = 3512651220. Its totient is φ = 431917056.

The previous prime is 1296364961. The next prime is 1296364969. The reversal of 1296364968 is 8694636921.

It can be written as a sum of positive squares in 2 ways, for example, as 840884004 + 455480964 = 28998^2 + 21342^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1296364961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275080 + ... + 279752.

Almost surely, 21296364968 is an apocalyptic number.

1296364968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1296364968 is an abundant number, since it is smaller than the sum of its proper divisors (2216286252).

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

1296364968 is a wasteful number, since it uses less digits than its factorization.

1296364968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8531 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1296364968 is about 36005.0686431786. The cubic root of 1296364968 is about 1090.3746903635.

The spelling of 1296364968 in words is "one billion, two hundred ninety-six million, three hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3853 4673 7706 9346 11559 14019 15412 18692 23118 28038 30824 34677 37384 42057 46236 56076 69354 84114 92472 112152 138708 168228 277416 336456 18005069 36010138 54015207 72020276 108030414 144040552 162045621 216060828 324091242 432121656 648182484 1296364968