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1311899976 = 23342338689
BaseRepresentation
bin100111000110010…
…0000000101001000
310101102120102110000
41032030200011020
510141321244401
6334102323000
744336652162
oct11614400510
93342512400
101311899976
11613595962
12307429460
1317ba4359a
14c633b932
157a291186
hex4e320148

1311899976 has 80 divisors (see below), whose sum is σ = 3690729900. Its totient is φ = 435373056.

The previous prime is 1311899969. The next prime is 1311899983. The reversal of 1311899976 is 6799981131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1311899969) and next prime (1311899983).

It can be written as a sum of positive squares in 2 ways, for example, as 1305087876 + 6812100 = 36126^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146640 + ... + 155328.

Almost surely, 21311899976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311899976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845364950).

1311899976 is an abundant number, since it is smaller than the sum of its proper divisors (2378829924).

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

1311899976 is a wasteful number, since it uses less digits than its factorization.

1311899976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8927 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 1311899976 is about 36220.1598008623. The cubic root of 1311899976 is about 1094.7129140425.

The spelling of 1311899976 in words is "one billion, three hundred eleven million, eight hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 324 466 648 699 932 1398 1864 2097 2796 4194 5592 6291 8388 8689 12582 16776 17378 18873 25164 26067 34756 37746 50328 52134 69512 75492 78201 104268 150984 156402 208536 234603 312804 469206 625608 703809 938412 1407618 1876824 2024537 2815236 4049074 5630472 6073611 8098148 12147222 16196296 18220833 24294444 36441666 48588888 54662499 72883332 109324998 145766664 163987497 218649996 327974994 437299992 655949988 1311899976