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131269404 = 223719233353
BaseRepresentation
bin1111101001100…
…00001100011100
3100011000011202210
413310300030130
5232101110104
621005320420
73152525430
oct764601434
9304004683
10131269404
1168109712
1237b66110
1321271506
14136109c0
15b7ce989
hex7d3031c

131269404 has 96 divisors (see below), whose sum is σ = 371105280. Its totient is φ = 35278848.

The previous prime is 131269373. The next prime is 131269409. The reversal of 131269404 is 404962131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131269409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371692 + ... + 372044.

It is an arithmetic number, because the mean of its divisors is an integer number (3865680).

Almost surely, 2131269404 is an apocalyptic number.

131269404 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 131269404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185552640).

131269404 is an abundant number, since it is smaller than the sum of its proper divisors (239835876).

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

131269404 is a wasteful number, since it uses less digits than its factorization.

131269404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 131269404 is about 11457.2860660804. The cubic root of 131269404 is about 508.2232211796.

The spelling of 131269404 in words is "one hundred thirty-one million, two hundred sixty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 233 266 353 399 466 532 699 706 798 932 1059 1398 1412 1596 1631 2118 2471 2796 3262 4236 4427 4893 4942 6524 6707 7413 8854 9786 9884 13281 13414 14826 17708 19572 20121 26562 26828 29652 30989 40242 46949 53124 61978 80484 82249 92967 93898 123956 140847 164498 185934 187796 246747 281694 328996 371868 493494 563388 575743 986988 1151486 1562731 1727229 2302972 3125462 3454458 4688193 6250924 6908916 9376386 10939117 18752772 21878234 32817351 43756468 65634702 131269404