Search a number
-
+
131984772 = 22337297263
BaseRepresentation
bin1111101110111…
…10110110000100
3100012100112001220
413313132312010
5232242003042
621032520340
73161565153
oct767366604
9305315056
10131984772
1168558127
12382500b0
1321461cca
141375959a
15b8c18ec
hex7dded84

131984772 has 24 divisors (see below), whose sum is σ = 316288896. Its totient is φ = 42805728.

The previous prime is 131984767. The next prime is 131984777. The reversal of 131984772 is 277489131.

It is an interprime number because it is at equal distance from previous prime (131984767) and next prime (131984777).

It is not an unprimeable number, because it can be changed into a prime (131984777) 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 7 ways as a sum of consecutive naturals, for example, 148188 + ... + 149075.

It is an arithmetic number, because the mean of its divisors is an integer number (13178704).

Almost surely, 2131984772 is an apocalyptic number.

131984772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131984772 is an abundant number, since it is smaller than the sum of its proper divisors (184304124).

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

131984772 is a wasteful number, since it uses less digits than its factorization.

131984772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297307 (or 297305 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 131984772 is about 11488.4625603255. The cubic root of 131984772 is about 509.1447565298.

The spelling of 131984772 in words is "one hundred thirty-one million, nine hundred eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 297263 594526 891789 1189052 1783578 3567156 10998731 21997462 32996193 43994924 65992386 131984772