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131030440 = 2356183647
BaseRepresentation
bin1111100111101…
…01110110101000
3100010120000222021
413303311312220
5232020433230
621000234224
73150511642
oct763656650
9303500867
10131030440
1167a66122
1237a6b974
13211b9808
141358b892
15b783c7a
hex7cf5da8

131030440 has 64 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 50853120.

The previous prime is 131030437. The next prime is 131030443. The reversal of 131030440 is 44030131.

It is an interprime number because it is at equal distance from previous prime (131030437) and next prime (131030443).

It is not an unprimeable number, because it can be changed into a prime (131030443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202197 + ... + 202843.

It is an arithmetic number, because the mean of its divisors is an integer number (4745790).

Almost surely, 2131030440 is an apocalyptic number.

131030440 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 131030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

131030440 is an abundant number, since it is smaller than the sum of its proper divisors (172700120).

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

131030440 is a wasteful number, since it uses less digits than its factorization.

131030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131030440 is about 11446.8528425939. The cubic root of 131030440 is about 507.9146424878.

Adding to 131030440 its reverse (44030131), we get a palindrome (175060571).

The spelling of 131030440 in words is "one hundred thirty-one million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 166 244 305 332 415 488 610 647 664 830 1220 1294 1660 2440 2588 3235 3320 5063 5176 6470 10126 12940 20252 25315 25880 39467 40504 50630 53701 78934 101260 107402 157868 197335 202520 214804 268505 315736 394670 429608 537010 789340 1074020 1578680 2148040 3275761 6551522 13103044 16378805 26206088 32757610 65515220 131030440