Search a number
-
+
2139528384 = 26337732423
BaseRepresentation
bin111111110000110…
…1001110011000000
312112002220022012000
41333201221303000
513340204402014
6552145304000
7104006456040
oct17741516300
95462808160
102139528384
119a8787384
124b8635000
1328134ab36
14164219720
15c7c74509
hex7f869cc0

2139528384 has 224 divisors, whose sum is σ = 7289840640. Its totient is φ = 602671104.

The previous prime is 2139528371. The next prime is 2139528427. The reversal of 2139528384 is 4838259312.

2139528384 is a `hidden beast` number, since 213 + 9 + 52 + 8 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881797 + ... + 884219.

Almost surely, 22139528384 is an apocalyptic number.

2139528384 is a gapful number since it is divisible by the number (24) 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 2139528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644920320).

2139528384 is an abundant number, since it is smaller than the sum of its proper divisors (5150312256).

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

2139528384 is a wasteful number, since it uses less digits than its factorization.

2139528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2508 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2139528384 is about 46255.0363095739. The cubic root of 2139528384 is about 1288.5640701538.

The spelling of 2139528384 in words is "two billion, one hundred thirty-nine million, five hundred twenty-eight thousand, three hundred eighty-four".