Search a number
-
+
131239936 = 2121792
BaseRepresentation
bin1111101001010…
…01000000000000
3100010221200100101
413310221000000
5232044134221
621004532144
73152343502
oct764510000
9303850311
10131239936
1168099563
1237b51054
1321260c89
1413603d72
15b7c5d91
hex7d29000

131239936 has 39 divisors (see below), whose sum is σ = 263922211. Its totient is φ = 65253376.

The previous prime is 131239921. The next prime is 131239937. The reversal of 131239936 is 639932131.

The square root of 131239936 is 11456.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131239895 and 131239904.

It is not an unprimeable number, because it can be changed into a prime (131239937) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 733095 + ... + 733273.

Almost surely, 2131239936 is an apocalyptic number.

131239936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131239936 is the 11456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131239936

131239936 is an abundant number, since it is smaller than the sum of its proper divisors (132682275).

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

131239936 is an frugal number, since it uses more digits than its factorization.

131239936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 181 counting only the distinct ones).

The product of its digits is 26244, while the sum is 37.

The cubic root of 131239936 is about 508.1851888526.

Multiplying 131239936 by its product of digits (26244), we get a square (3444260880384 = 18558722).

The spelling of 131239936 in words is "one hundred thirty-one million, two hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 512 716 1024 1432 2048 2864 4096 5728 11456 22912 32041 45824 64082 91648 128164 183296 256328 366592 512656 733184 1025312 2050624 4101248 8202496 16404992 32809984 65619968 131239936