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131243440 = 24537101439
BaseRepresentation
bin1111101001010…
…01110110110000
3100010221212011011
413310221312300
5232044242230
621005000304
73152356636
oct764516660
9303855134
10131243440
11680a1159
1237b53094
1321262753
1413605356
15b7c6e2a
hex7d29db0

131243440 has 80 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 50457600.

The previous prime is 131243347. The next prime is 131243443. The reversal of 131243440 is 44342131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131243443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298741 + ... + 299179.

It is an arithmetic number, because the mean of its divisors is an integer number (3965148).

Almost surely, 2131243440 is an apocalyptic number.

131243440 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 131243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605920).

131243440 is an abundant number, since it is smaller than the sum of its proper divisors (185968400).

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

131243440 is a wasteful number, since it uses less digits than its factorization.

131243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 131243440 is about 11456.1529319401. The cubic root of 131243440 is about 508.1897115234.

Adding to 131243440 its reverse (44342131), we get a palindrome (175585571).

The spelling of 131243440 in words is "one hundred thirty-one million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 101 148 185 202 296 370 404 439 505 592 740 808 878 1010 1480 1616 1756 2020 2195 2960 3512 3737 4040 4390 7024 7474 8080 8780 14948 16243 17560 18685 29896 32486 35120 37370 44339 59792 64972 74740 81215 88678 129944 149480 162430 177356 221695 259888 298960 324860 354712 443390 649720 709424 886780 1299440 1640543 1773560 3281086 3547120 6562172 8202715 13124344 16405430 26248688 32810860 65621720 131243440