Search a number
-
+
131292820 = 22515741813
BaseRepresentation
bin1111101001101…
…01111010010100
3100011001100220001
413310311322110
5232102332240
621010021044
73152653621
oct764657224
9304040801
10131292820
116812526a
1237b77784
132127c079
1413619348
15b7d689a
hex7d35e94

131292820 has 24 divisors (see below), whose sum is σ = 277477704. Its totient is φ = 52181376.

The previous prime is 131292743. The next prime is 131292823. The reversal of 131292820 is 28292131.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 131285764 = 84^2 + 11458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131292823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17767 + ... + 24046.

It is an arithmetic number, because the mean of its divisors is an integer number (11561571).

Almost surely, 2131292820 is an apocalyptic number.

131292820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131292820 is an abundant number, since it is smaller than the sum of its proper divisors (146184884).

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

131292820 is a wasteful number, since it uses less digits than its factorization.

131292820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979 (or 41977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 131292820 is about 11458.3079030021. The cubic root of 131292820 is about 508.2534385469.

The spelling of 131292820 in words is "one hundred thirty-one million, two hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 41813 83626 167252 209065 418130 836260 6564641 13129282 26258564 32823205 65646410 131292820