Search a number
-
+
2015740020 = 2235719376827
BaseRepresentation
bin111100000100101…
…1100000001110100
312012110222012110210
41320021130001310
513112012140040
6532004145420
7100644336030
oct17011340164
95173865423
102015740020
11944918348
12483098270
132617c8798
141519d51c0
15bbe71480
hex7825c074

2015740020 has 192 divisors, whose sum is σ = 6974392320. Its totient is φ = 424631808.

The previous prime is 2015740007. The next prime is 2015740037. The reversal of 2015740020 is 200475102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291847 + ... + 298673.

It is an arithmetic number, because the mean of its divisors is an integer number (36324960).

Almost surely, 22015740020 is an apocalyptic number.

2015740020 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 2015740020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487196160).

2015740020 is an abundant number, since it is smaller than the sum of its proper divisors (4958652300).

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

2015740020 is a wasteful number, since it uses less digits than its factorization.

2015740020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2015740020 is about 44896.9934405412. The cubic root of 2015740020 is about 1263.2176140497.

The spelling of 2015740020 in words is "two billion, fifteen million, seven hundred forty thousand, twenty".