Search a number
-
+
1313004 = 223731129
BaseRepresentation
bin101000000100011101100
32110201002210
411000203230
5314004004
644050420
714106000
oct5004354
92421083
101313004
11817530
12533a10
1336c834
14262700
151ae089
hex1408ec

1313004 has 96 divisors (see below), whose sum is σ = 4032000. Its totient is φ = 329280.

The previous prime is 1312967. The next prime is 1313041. The reversal of 1313004 is 4003131.

It is an interprime number because it is at equal distance from previous prime (1312967) and next prime (1313041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45262 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

21313004 is an apocalyptic number.

1313004 is a gapful number since it is divisible by the number (14) 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 1313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016000).

1313004 is an abundant number, since it is smaller than the sum of its proper divisors (2718996).

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

1313004 is a wasteful number, since it uses less digits than its factorization.

1313004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1313004 is about 1145.8638662599. The cubic root of 1313004 is about 109.5019911650.

Adding to 1313004 its reverse (4003131), we get a palindrome (5316135).

The spelling of 1313004 in words is "one million, three hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 49 58 66 77 84 87 98 116 132 147 154 174 196 203 231 294 308 319 343 348 406 462 539 588 609 638 686 812 924 957 1029 1078 1218 1276 1372 1421 1617 1914 2058 2156 2233 2436 2842 3234 3773 3828 4116 4263 4466 5684 6468 6699 7546 8526 8932 9947 11319 13398 15092 15631 17052 19894 22638 26796 29841 31262 39788 45276 46893 59682 62524 93786 109417 119364 187572 218834 328251 437668 656502 1313004