Search a number
-
+
78785136 = 2434313753
BaseRepresentation
bin1001011001000…
…10101001110000
312111020200220000
410230202221300
5130132111021
611452350000
71644443163
oct454425160
9174220800
1078785136
1140521491
1222475300
1313426431
14a66bada
156db3b26
hex4b22a70

78785136 has 200 divisors, whose sum is σ = 246305664. Its totient is φ = 24261120.

The previous prime is 78785131. The next prime is 78785197. The reversal of 78785136 is 63158787.

Its product of digits (282240) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 78785091 and 78785100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78785131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1486486 + ... + 1486538.

Almost surely, 278785136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78785136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152832).

78785136 is an abundant number, since it is smaller than the sum of its proper divisors (167520528).

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

78785136 is a wasteful number, since it uses less digits than its factorization.

78785136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 78785136 is about 8876.0991432047. The cubic root of 78785136 is about 428.6946822641.

The spelling of 78785136 in words is "seventy-eight million, seven hundred eighty-five thousand, one hundred thirty-six".