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2015401340 = 2251722726113
BaseRepresentation
bin111100000100000…
…1001010101111100
312012110022222220002
41320020021111330
513111420320330
6531553013432
7100641425441
oct17010112574
95173288802
102015401340
11944706947
12482b54278
1326170a594
141519479c8
15bbe05e45
hex7820957c

2015401340 has 48 divisors (see below), whose sum is σ = 4501217952. Its totient is φ = 755367936.

The previous prime is 2015401321. The next prime is 2015401363. The reversal of 2015401340 is 431045102.

It is a super-2 number, since 2×20154013402 = 8123685122547591200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64124 + ... + 90236.

It is an arithmetic number, because the mean of its divisors is an integer number (93775374).

Almost surely, 22015401340 is an apocalyptic number.

2015401340 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 2015401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250608976).

2015401340 is an abundant number, since it is smaller than the sum of its proper divisors (2485816612).

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

2015401340 is a wasteful number, since it uses less digits than its factorization.

2015401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26366 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2015401340 is about 44893.2215373323. The cubic root of 2015401340 is about 1263.1468624481.

Adding to 2015401340 its reverse (431045102), we get a palindrome (2446446442).

The spelling of 2015401340 in words is "two billion, fifteen million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 227 340 454 908 1135 2270 3859 4540 7718 15436 19295 26113 38590 52226 77180 104452 130565 261130 443921 522260 887842 1775684 2219605 4439210 5927651 8878420 11855302 23710604 29638255 59276510 100770067 118553020 201540134 403080268 503850335 1007700670 2015401340