Search a number
-
+
2715015420 = 22325132149599
BaseRepresentation
bin1010000111010011…
…1101100011111100
321000012210001222200
42201310331203330
521030020443140
61125224111500
7124165151565
oct24164754374
97005701880
102715015420
1111736122a7
12639305590
13343643100
141ba82116c
1510d54e030
hexa1d3d8fc

2715015420 has 216 divisors, whose sum is σ = 8992620000. Its totient is φ = 662717952.

The previous prime is 2715015377. The next prime is 2715015421. The reversal of 2715015420 is 245105172.

2715015420 is a `hidden beast` number, since 2 + 71 + 50 + 1 + 542 + 0 = 666.

It is a super-3 number, since 3×27150154203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715015421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4532281 + ... + 4532879.

It is an arithmetic number, because the mean of its divisors is an integer number (41632500).

Almost surely, 22715015420 is an apocalyptic number.

2715015420 is a gapful number since it is divisible by the number (20) 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 2715015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496310000).

2715015420 is an abundant number, since it is smaller than the sum of its proper divisors (6277604580).

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

2715015420 is a wasteful number, since it uses less digits than its factorization.

2715015420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2715015420 is about 52105.8098488067. The cubic root of 2715015420 is about 1395.0531910192.

The spelling of 2715015420 in words is "two billion, seven hundred fifteen million, fifteen thousand, four hundred twenty".