Search a number
-
+
2015429780 = 2257213243283
BaseRepresentation
bin111100000100001…
…0000010010010100
312012110101102220102
41320020100102110
513111422223110
6531553353232
7100641604400
oct17010202224
95173342812
102015429780
11944726251
12482b68818
1326171a500
14151954100
15bbe0e5a5
hex78210494

2015429780 has 216 divisors, whose sum is σ = 5474522592. Its totient is φ = 620815104.

The previous prime is 2015429761. The next prime is 2015429789. The reversal of 2015429780 is 879245102.

It is a super-2 number, since 2×20154297802 = 8123914396221696800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015429789) 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, 7121519 + ... + 7121801.

It is an arithmetic number, because the mean of its divisors is an integer number (25345012).

Almost surely, 22015429780 is an apocalyptic number.

2015429780 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 2015429780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737261296).

2015429780 is an abundant number, since it is smaller than the sum of its proper divisors (3459092812).

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

2015429780 is a wasteful number, since it uses less digits than its factorization.

2015429780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2015429780 is about 44893.5382878204. The cubic root of 2015429780 is about 1263.1528039823.

The spelling of 2015429780 in words is "two billion, fifteen million, four hundred twenty-nine thousand, seven hundred eighty".