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1313964 = 22321719113
BaseRepresentation
bin101000000110010101100
32110202102100
411000302230
5314021324
644055100
714111541
oct5006254
92422370
101313964
11818223
12534490
133700c2
14262bc8
151ae4c9
hex140cac

1313964 has 72 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 387072.

The previous prime is 1313959. The next prime is 1313987. The reversal of 1313964 is 4693131.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11572 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

21313964 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 1313964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867320).

1313964 is an abundant number, since it is smaller than the sum of its proper divisors (2420676).

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

1313964 is a wasteful number, since it uses less digits than its factorization.

1313964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1313964 is about 1146.2826876473. The cubic root of 1313964 is about 109.5286720438.

It can be divided in two parts, 13139 and 64, that added together give a triangular number (13203 = T162).

The spelling of 1313964 in words is "one million, three hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 113 114 153 171 204 226 228 306 323 339 342 452 612 646 678 684 969 1017 1292 1356 1921 1938 2034 2147 2907 3842 3876 4068 4294 5763 5814 6441 7684 8588 11526 11628 12882 17289 19323 23052 25764 34578 36499 38646 69156 72998 77292 109497 145996 218994 328491 437988 656982 1313964