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131211440 = 2451796479
BaseRepresentation
bin1111101001000…
…10000010110000
3100010220020020222
413310202002300
5232042231230
621004152212
73152164433
oct764420260
9303806228
10131211440
116807a108
1237b38668
1321251009
14135d781a
15b7bc6e5
hex7d220b0

131211440 has 40 divisors (see below), whose sum is σ = 323015040. Its totient is φ = 49396736.

The previous prime is 131211433. The next prime is 131211467. The reversal of 131211440 is 44112131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

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 7 ways as a sum of consecutive naturals, for example, 46880 + ... + 49599.

It is an arithmetic number, because the mean of its divisors is an integer number (8075376).

Almost surely, 2131211440 is an apocalyptic number.

131211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211440 is an abundant number, since it is smaller than the sum of its proper divisors (191803600).

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

131211440 is a wasteful number, since it uses less digits than its factorization.

131211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96509 (or 96503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 131211440 is about 11454.7562173972. The cubic root of 131211440 is about 508.1484056046.

Adding to 131211440 its reverse (44112131), we get a palindrome (175323571).

The spelling of 131211440 in words is "one hundred thirty-one million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 96479 192958 385916 482395 771832 964790 1543664 1640143 1929580 3280286 3859160 6560572 7718320 8200715 13121144 16401430 26242288 32802860 65605720 131211440