Search a number
-
+
1087932384 = 25357112379
BaseRepresentation
bin100000011011000…
…1000011111100000
32210211010200200000
41000312020133200
54212002314014
6255542100000
735650162350
oct10066103740
92724120600
101087932384
11509122780
1226441a600
13144516c96
14a46bab60
15657a0509
hex40d887e0

1087932384 has 576 divisors, whose sum is σ = 4226826240. Its totient is φ = 266872320.

The previous prime is 1087932367. The next prime is 1087932389. The reversal of 1087932384 is 4832397801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087932389) 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, 13771257 + ... + 13771335.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 21087932384 is an apocalyptic number.

1087932384 is a gapful number since it is divisible by the number (14) 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 1087932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1087932384 is an abundant number, since it is smaller than the sum of its proper divisors (3138893856).

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

1087932384 is a wasteful number, since it uses less digits than its factorization.

1087932384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1087932384 is about 32983.8200334649. The cubic root of 1087932384 is about 1028.4913294768.

The spelling of 1087932384 in words is "one billion, eighty-seven million, nine hundred thirty-two thousand, three hundred eighty-four".