Search a number
-
+
1312630272 = 2934311021
BaseRepresentation
bin100111000111101…
…0010011000000000
310101110221112020000
41032033102120000
510142013132042
6334130120000
744346113262
oct11617223000
93343845200
101312630272
11613a44608
12307720000
1317bc3ab05
14c648bb32
157a38774c
hex4e3d2600

1312630272 has 200 divisors, whose sum is σ = 4048199232. Its totient is φ = 423014400.

The previous prime is 1312630259. The next prime is 1312630279. The reversal of 1312630272 is 2720362131.

1312630272 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 630 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312630279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285122 + ... + 1286142.

Almost surely, 21312630272 is an apocalyptic number.

1312630272 is a gapful number since it is divisible by the number (12) 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 1312630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024099616).

1312630272 is an abundant number, since it is smaller than the sum of its proper divisors (2735568960).

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

1312630272 is an equidigital number, since it uses as much as digits as its factorization.

1312630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1312630272 is about 36230.2397452736. The cubic root of 1312630272 is about 1094.9160078191.

The spelling of 1312630272 in words is "one billion, three hundred twelve million, six hundred thirty thousand, two hundred seventy-two".