Search a number
-
+
1940532048 = 24327131731281
BaseRepresentation
bin111001110101010…
…0010101101010000
312000020110020112100
41303222202231100
512433234011143
6520320200400
766042151560
oct16352425520
95006406470
101940532048
1190641a4a4
12461a69100
1324c055620
14145a18da0
15b55676d3
hex73aa2b50

1940532048 has 480 divisors, whose sum is σ = 7331530752. Its totient is φ = 464486400.

The previous prime is 1940532037. The next prime is 1940532049. The reversal of 1940532048 is 8402350491.

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 (1940532049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6905668 + ... + 6905948.

Almost surely, 21940532048 is an apocalyptic number.

1940532048 is a gapful number since it is divisible by the number (18) 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 1940532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665765376).

1940532048 is an abundant number, since it is smaller than the sum of its proper divisors (5390998704).

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

1940532048 is a wasteful number, since it uses less digits than its factorization.

1940532048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1940532048 is about 44051.4704408377. The cubic root of 1940532048 is about 1247.3077089918.

The spelling of 1940532048 in words is "one billion, nine hundred forty million, five hundred thirty-two thousand, forty-eight".