Search a number
-
+
131786430 = 2354392881
BaseRepresentation
bin1111101101011…
…10011010111110
3100011222102222220
413312232122332
5232214131210
621024350210
73160110666
oct766563276
9304872886
10131786430
1168432106
1238175366
13213c2949
14137071a6
15b882c70
hex7dae6be

131786430 has 16 divisors (see below), whose sum is σ = 316287504. Its totient is φ = 35143040.

The previous prime is 131786401. The next prime is 131786441. The reversal of 131786430 is 34687131.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131786391 and 131786400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2196411 + ... + 2196470.

It is an arithmetic number, because the mean of its divisors is an integer number (19767969).

Almost surely, 2131786430 is an apocalyptic number.

131786430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131786430 is an abundant number, since it is smaller than the sum of its proper divisors (184501074).

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

131786430 is a wasteful number, since it uses less digits than its factorization.

131786430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392891.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 131786430 is about 11479.8270892902. The cubic root of 131786430 is about 508.8895871506.

The spelling of 131786430 in words is "one hundred thirty-one million, seven hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 4392881 8785762 13178643 21964405 26357286 43928810 65893215 131786430