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1287896961 = 313414717137
BaseRepresentation
bin100110011000011…
…1011111110000001
310022202101221111110
41030300323332001
510114200200321
6331444033533
743625641431
oct11460737601
93282357443
101287896961
11600a9105a
122bb3928a9
13176a8b110
14c30902c1
15780ee176
hex4cc3bf81

1287896961 has 32 divisors (see below), whose sum is σ = 1934811648. Its totient is φ = 756725760.

The previous prime is 1287896957. The next prime is 1287896977. The reversal of 1287896961 is 1696987821.

It is not a de Polignac number, because 1287896961 - 22 = 1287896957 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1287896461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66585 + ... + 83721.

It is an arithmetic number, because the mean of its divisors is an integer number (60462864).

Almost surely, 21287896961 is an apocalyptic number.

It is an amenable number.

1287896961 is a deficient number, since it is larger than the sum of its proper divisors (646914687).

1287896961 is a wasteful number, since it uses less digits than its factorization.

1287896961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17241.

The product of its digits is 2612736, while the sum is 57.

The square root of 1287896961 is about 35887.2813263975. The cubic root of 1287896961 is about 1087.9953506077.

The spelling of 1287896961 in words is "one billion, two hundred eighty-seven million, eight hundred ninety-six thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 41 47 123 141 533 611 1599 1833 1927 5781 17137 25051 51411 75153 222781 668343 702617 805439 2107851 2416317 9134021 10470707 27402063 31412121 33022999 99068997 429298987 1287896961