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131631420 = 223513116747
BaseRepresentation
bin1111101100010…
…00100100111100
3100011200120100210
413312020210330
5232144201140
621021152420
73155564034
oct766104474
9304616323
10131631420
11683366a8
12380bb710
132136a21b
14136a68c4
15b851d80
hex7d8893c

131631420 has 48 divisors (see below), whose sum is σ = 371403648. Its totient is φ = 34831680.

The previous prime is 131631413. The next prime is 131631427. The reversal of 131631420 is 24136131.

It is an interprime number because it is at equal distance from previous prime (131631413) and next prime (131631427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131631427) 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, 514 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (7737576).

Almost surely, 2131631420 is an apocalyptic number.

131631420 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 131631420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185701824).

131631420 is an abundant number, since it is smaller than the sum of its proper divisors (239772228).

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

131631420 is a wasteful number, since it uses less digits than its factorization.

131631420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 131631420 is about 11473.0736945249. The cubic root of 131631420 is about 508.6899866225.

Adding to 131631420 its reverse (24136131), we get a palindrome (155767551).

The spelling of 131631420 in words is "one hundred thirty-one million, six hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 16747 33494 50241 66988 83735 100482 167470 200964 251205 334940 502410 1004820 2193857 4387714 6581571 8775428 10969285 13163142 21938570 26326284 32907855 43877140 65815710 131631420