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1313640 = 233254189
BaseRepresentation
bin101000000101101101000
32110201222100
411000231220
5314014030
644053400
714110566
oct5005550
92421870
101313640
11817a59
12534260
1336cc03
14262a36
151ae360
hex140b68

1313640 has 96 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 337920.

The previous prime is 1313633. The next prime is 1313651. The reversal of 1313640 is 463131.

1313640 is a `hidden beast` number, since 13 + 13 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 492804 + 820836 = 702^2 + 906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

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, 14716 + ... + 14804.

21313640 is an apocalyptic number.

1313640 is a gapful number since it is divisible by the number (10) 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 1313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

1313640 is an abundant number, since it is smaller than the sum of its proper divisors (3108960).

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

1313640 is a wasteful number, since it uses less digits than its factorization.

1313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313640 is about 1146.1413525390. The cubic root of 1313640 is about 109.5196687005.

Adding to 1313640 its reverse (463131), we get a palindrome (1776771).

It can be divided in two parts, 1313 and 640, that added together give a triangular number (1953 = T62).

The spelling of 1313640 in words is "one million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 89 90 120 123 164 178 180 205 246 267 328 356 360 369 410 445 492 534 615 712 738 801 820 890 984 1068 1230 1335 1476 1602 1640 1780 1845 2136 2460 2670 2952 3204 3560 3649 3690 4005 4920 5340 6408 7298 7380 8010 10680 10947 14596 14760 16020 18245 21894 29192 32040 32841 36490 43788 54735 65682 72980 87576 109470 131364 145960 164205 218940 262728 328410 437880 656820 1313640