Search a number
-
+
1311564132 = 223266155117
BaseRepresentation
bin100111000101100…
…1110000101100100
310101101221100202100
41032023032011210
510141230023012
6334051212100
744334053064
oct11613160544
93341840670
101311564132
116133865aa
123072a7030
1317b956768
14c62913a4
157a2268dc
hex4e2ce164

1311564132 has 36 divisors (see below), whose sum is σ = 3320418556. Its totient is φ = 436518720.

The previous prime is 1311564131. The next prime is 1311564143. The reversal of 1311564132 is 2314651131.

It is a happy number.

1311564132 is a `hidden beast` number, since 1 + 3 + 1 + 15 + 641 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1184461056 + 127103076 = 34416^2 + 11274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1311564096 and 1311564105.

It is not an unprimeable number, because it can be changed into a prime (1311564131) 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, 3763 + ... + 51354.

Almost surely, 21311564132 is an apocalyptic number.

1311564132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311564132 is an abundant number, since it is smaller than the sum of its proper divisors (2008854424).

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

1311564132 is a wasteful number, since it uses less digits than its factorization.

1311564132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55788 (or 55783 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1311564132 is about 36215.5233567044. The cubic root of 1311564132 is about 1094.6194912339.

The spelling of 1311564132 in words is "one billion, three hundred eleven million, five hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 661 1322 1983 2644 3966 5949 7932 11898 23796 55117 110234 165351 220468 330702 496053 661404 992106 1984212 36432337 72864674 109297011 145729348 218594022 327891033 437188044 655782066 1311564132