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131206240 = 25511127587
BaseRepresentation
bin1111101001000…
…00110001100000
3100010212222010101
413310200301200
5232042044430
621004112144
73152143324
oct764406140
9303788111
10131206240
1168076210
1237b35654
132124b839
14135d5984
15b7badca
hex7d20c60

131206240 has 96 divisors (see below), whose sum is σ = 341397504. Its totient is φ = 47255040.

The previous prime is 131206223. The next prime is 131206247. The reversal of 131206240 is 42602131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131206247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 223227 + ... + 223813.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 2131206240 is an apocalyptic number.

131206240 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 131206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

131206240 is an abundant number, since it is smaller than the sum of its proper divisors (210191264).

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

131206240 is a wasteful number, since it uses less digits than its factorization.

131206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131206240 is about 11454.5292351978. The cubic root of 131206240 is about 508.1416927585.

Adding to 131206240 its reverse (42602131), we get a palindrome (173808371).

The spelling of 131206240 in words is "one hundred thirty-one million, two hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 127 160 176 220 254 352 440 508 587 635 880 1016 1174 1270 1397 1760 2032 2348 2540 2794 2935 4064 4696 5080 5588 5870 6457 6985 9392 10160 11176 11740 12914 13970 18784 20320 22352 23480 25828 27940 32285 44704 46960 51656 55880 64570 74549 93920 103312 111760 129140 149098 206624 223520 258280 298196 372745 516560 596392 745490 820039 1033120 1192784 1490980 1640078 2385568 2981960 3280156 4100195 5963920 6560312 8200390 11927840 13120624 16400780 26241248 32801560 65603120 131206240