Search a number
-
+
140785920 = 28325112101
BaseRepresentation
bin10000110010000…
…11100100000000
3100210220122222100
420121003210000
5242020122140
621545310400
73326442402
oct1031034400
9323818870
10140785920
1172519600
123b195400
1323223ca2
14149aab72
15c55e530
hex8643900

140785920 has 324 divisors, whose sum is σ = 540713628. Its totient is φ = 33792000.

The previous prime is 140785889. The next prime is 140785927. The reversal of 140785920 is 29587041.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 40144896 = 10032^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140785927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393870 + ... + 1393970.

Almost surely, 2140785920 is an apocalyptic number.

140785920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270356814).

140785920 is an abundant number, since it is smaller than the sum of its proper divisors (399927708).

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

140785920 is a wasteful number, since it uses less digits than its factorization.

140785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 140785920 is about 11865.3242686410. The cubic root of 140785920 is about 520.2192369432.

The spelling of 140785920 in words is "one hundred forty million, seven hundred eighty-five thousand, nine hundred twenty".