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1295131264 = 2771785027
BaseRepresentation
bin100110100110010…
…0010001010000000
310100021000111002121
41031030202022000
510123023200024
6332303054024
744044301620
oct11514421200
93307014077
101295131264
11605082319
123018a1314
13178421b7b
14c4014880
1578a7c8e4
hex4d322280

1295131264 has 64 divisors (see below), whose sum is σ = 3122228160. Its totient is φ = 522399744.

The previous prime is 1295131241. The next prime is 1295131289. The reversal of 1295131264 is 4621315921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27282 + ... + 57745.

It is an arithmetic number, because the mean of its divisors is an integer number (48784815).

Almost surely, 21295131264 is an apocalyptic number.

1295131264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1295131264 is an abundant number, since it is smaller than the sum of its proper divisors (1827096896).

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

1295131264 is an equidigital number, since it uses as much as digits as its factorization.

1295131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85065 (or 85053 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 1295131264 is about 35987.9321995582. The cubic root of 1295131264 is about 1090.0286904324.

The spelling of 1295131264 in words is "one billion, two hundred ninety-five million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 85027 170054 340108 595189 680216 1190378 1360432 1445459 2380756 2720864 2890918 4761512 5441728 5781836 9523024 10118213 10883456 11563672 19046048 20236426 23127344 38092096 40472852 46254688 76184192 80945704 92509376 161891408 185018752 323782816 647565632 1295131264