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131304840 = 23353147751
BaseRepresentation
bin1111101001110…
…00110110001000
3100011001222101020
413310320312020
5232103223330
621010152440
73153033642
oct764706610
9304058336
10131304840
11681332a7
1237b82720
1321284694
141361d892
15b7da210
hex7d38d88

131304840 has 128 divisors (see below), whose sum is σ = 415825920. Its totient is φ = 33120000.

The previous prime is 131304799. The next prime is 131304847. The reversal of 131304840 is 48403131.

It is a super-2 number, since 2×1313048402 = 34481922014851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131304840.

It is not an unprimeable number, because it can be changed into a prime (131304847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174465 + ... + 175215.

It is an arithmetic number, because the mean of its divisors is an integer number (3248640).

Almost surely, 2131304840 is an apocalyptic number.

131304840 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 131304840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207912960).

131304840 is an abundant number, since it is smaller than the sum of its proper divisors (284521080).

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

131304840 is a wasteful number, since it uses less digits than its factorization.

131304840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131304840 is about 11458.8324012528. The cubic root of 131304840 is about 508.2689484581.

Adding to 131304840 its reverse (48403131), we get a palindrome (179707971).

The spelling of 131304840 in words is "one hundred thirty-one million, three hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 564 620 705 744 751 930 940 1128 1240 1410 1457 1502 1860 1880 2253 2820 2914 3004 3720 3755 4371 4506 5640 5828 6008 7285 7510 8742 9012 11265 11656 14570 15020 17484 18024 21855 22530 23281 29140 30040 34968 35297 43710 45060 46562 58280 69843 70594 87420 90120 93124 105891 116405 139686 141188 174840 176485 186248 211782 232810 279372 282376 349215 352970 423564 465620 529455 558744 698430 705940 847128 931240 1058910 1094207 1396860 1411880 2117820 2188414 2793720 3282621 4235640 4376828 5471035 6565242 8753656 10942070 13130484 16413105 21884140 26260968 32826210 43768280 65652420 131304840