Search a number
-
+
7139082240 = 21432523421
BaseRepresentation
bin1101010011000010…
…11100000000000000
3200102112102221202100
412221201130000000
5104110101112430
63140223150400
7341625124563
oct65141340000
920375387670
107139082240
11303390a174
121472a45400
1389a081624
144ba2024da
152bbb3d960
hex1a985c000

7139082240 has 360 divisors, whose sum is σ = 25885405728. Its totient is φ = 1816657920.

The previous prime is 7139082233. The next prime is 7139082277. The reversal of 7139082240 is 422809317.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 7139082195 and 7139082204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16957230 + ... + 16957650.

Almost surely, 27139082240 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 7139082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942702864).

7139082240 is an abundant number, since it is smaller than the sum of its proper divisors (18746323488).

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

7139082240 is a wasteful number, since it uses less digits than its factorization.

7139082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7139082240 is about 84493.0898949731. The cubic root of 7139082240 is about 1925.5174627315.

The spelling of 7139082240 in words is "seven billion, one hundred thirty-nine million, eighty-two thousand, two hundred forty".