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131410132 = 22723419487
BaseRepresentation
bin1111101010100…
…10100011010100
3100011021022210221
413311102203110
5232120111012
621012324124
73153652630
oct765224324
9304238727
10131410132
11681a5417
1238013644
13212c0599
1413649dc0
15b80b507
hex7d528d4

131410132 has 48 divisors (see below), whose sum is σ = 275466240. Its totient is φ = 53631072.

The previous prime is 131410121. The next prime is 131410133. The reversal of 131410132 is 231014131.

131410132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410133) 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, 269593 + ... + 270079.

It is an arithmetic number, because the mean of its divisors is an integer number (5738880).

Almost surely, 2131410132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137733120).

131410132 is an abundant number, since it is smaller than the sum of its proper divisors (144056108).

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

131410132 is a wasteful number, since it uses less digits than its factorization.

131410132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131410132 is about 11463.4258404719. The cubic root of 131410132 is about 508.4047707062.

Adding to 131410132 its reverse (231014131), we get a palindrome (362424263).

The spelling of 131410132 in words is "one hundred thirty-one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 419 487 644 838 974 1676 1948 2933 3409 5866 6818 9637 11201 11732 13636 19274 22402 38548 44804 67459 78407 134918 156814 204053 269836 313628 408106 816212 1428371 2856742 4693219 5713484 9386438 18772876 32852533 65705066 131410132