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2605412020 = 2251277102013
BaseRepresentation
bin1001101101001011…
…0110111010110100
320201120112122101111
42123102312322310
520313441141040
61110311004404
7121364431261
oct23322667264
96646478344
102605412020
111117761682
12608669704
13326a19423
141aa050268
15103aeddea
hex9b4b6eb4

2605412020 has 24 divisors (see below), whose sum is σ = 5475703464. Its totient is φ = 1041338496.

The previous prime is 2605412003. The next prime is 2605412039. The reversal of 2605412020 is 202145062.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 2594679844 = 3276^2 + 50938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2605411982 and 2605412000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25467 + ... + 76546.

It is an arithmetic number, because the mean of its divisors is an integer number (228154311).

Almost surely, 22605412020 is an apocalyptic number.

2605412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605412020 is an abundant number, since it is smaller than the sum of its proper divisors (2870291444).

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

2605412020 is a wasteful number, since it uses less digits than its factorization.

2605412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103299 (or 103297 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2605412020 is about 51043.2367704087. The cubic root of 2605412020 is about 1376.0222956152.

Adding to 2605412020 its reverse (202145062), we get a palindrome (2807557082).

The spelling of 2605412020 in words is "two billion, six hundred five million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 1277 2554 5108 6385 12770 25540 102013 204026 408052 510065 1020130 2040260 130270601 260541202 521082404 651353005 1302706010 2605412020