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1531318404 = 2237211221523
BaseRepresentation
bin101101101000110…
…0001000010000100
310221201110000221110
41123101201002010
511114004142104
6411541245020
752642664100
oct13321410204
93851400843
101531318404
11716431200
12368a03770
131b5339385
14107536900
158e683e89
hex5b461084

1531318404 has 108 divisors (see below), whose sum is σ = 4568856432. Its totient is φ = 397726560.

The previous prime is 1531318387. The next prime is 1531318427. The reversal of 1531318404 is 4048131351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60387 + ... + 81909.

Almost surely, 21531318404 is an apocalyptic number.

1531318404 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 1531318404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284428216).

1531318404 is an abundant number, since it is smaller than the sum of its proper divisors (3037538028).

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

1531318404 is a wasteful number, since it uses less digits than its factorization.

1531318404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1531318404 is about 39132.0636307364. The cubic root of 1531318404 is about 1152.6262358766.

Adding to 1531318404 its reverse (4048131351), we get a palindrome (5579449755).

The spelling of 1531318404 in words is "one billion, five hundred thirty-one million, three hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 10164 11858 17787 21523 23716 35574 43046 64569 71148 86092 129138 150661 236753 258276 301322 451983 473506 602644 710259 903966 947012 1054627 1420518 1657271 1807932 2109254 2604283 2841036 3163881 3314542 4218508 4971813 5208566 6327762 6629084 7812849 9943626 10417132 11600897 12655524 15625698 18229981 19887252 23201794 31251396 34802691 36459962 46403588 54689943 69605382 72919924 109379886 127609867 139210764 218759772 255219734 382829601 510439468 765659202 1531318404