Search a number
-
+
131742736 = 2453337461
BaseRepresentation
bin1111101101000…
…11110000010000
3100011220020001121
413312203300100
5232211231421
621023412024
73156536416
oct766436020
9304806047
10131742736
11684022a4
1238154014
13213a8aa8
14136d52b6
15b874d41
hex7da3c10

131742736 has 40 divisors (see below), whose sum is σ = 261405144. Its totient is φ = 64296960.

The previous prime is 131742731. The next prime is 131742757. The reversal of 131742736 is 637247131.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 120560400 = 3344^2 + 10980^2 .

It is a super-2 number, since 2×1317427362 = 34712296977531392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131742731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285546 + ... + 286006.

Almost surely, 2131742736 is an apocalyptic number.

131742736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131742736 is a deficient number, since it is larger than the sum of its proper divisors (129662408).

131742736 is a wasteful number, since it uses less digits than its factorization.

131742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 131742736 is about 11477.9238540774. The cubic root of 131742736 is about 508.8333398838.

Adding to 131742736 its reverse (637247131), we get a palindrome (768989867).

The spelling of 131742736 in words is "one hundred thirty-one million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 53 106 212 337 424 461 674 848 922 1348 1844 2696 3688 5392 7376 17861 24433 35722 48866 71444 97732 142888 155357 195464 285776 310714 390928 621428 1242856 2485712 8233921 16467842 32935684 65871368 131742736