Search a number
-
+
2015154020 = 22511891011019
BaseRepresentation
bin111100000011100…
…1100111101100100
312012102212102122002
41320013030331210
513111334412040
6531543424432
7100636345415
oct17007147544
95172772562
102015154020
11944558050
12482a55118
13261651b39
141518c180c
15bbda7a15
hex781ccf64

2015154020 has 96 divisors (see below), whose sum is σ = 4719254400. Its totient is φ = 716672000.

The previous prime is 2015154013. The next prime is 2015154047. The reversal of 2015154020 is 204515102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2015153983 and 2015154001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977071 + ... + 1978089.

It is an arithmetic number, because the mean of its divisors is an integer number (49158900).

Almost surely, 22015154020 is an apocalyptic number.

2015154020 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 2015154020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359627200).

2015154020 is an abundant number, since it is smaller than the sum of its proper divisors (2704100380).

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

2015154020 is a wasteful number, since it uses less digits than its factorization.

2015154020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2015154020 is about 44890.4669167074. The cubic root of 2015154020 is about 1263.0951913069.

Adding to 2015154020 its reverse (204515102), we get a palindrome (2219669122).

The spelling of 2015154020 in words is "two billion, fifteen million, one hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 101 110 178 202 220 356 404 445 505 890 979 1010 1019 1111 1780 1958 2020 2038 2222 3916 4076 4444 4895 5095 5555 8989 9790 10190 11110 11209 17978 19580 20380 22220 22418 35956 44836 44945 56045 89890 90691 98879 102919 112090 179780 181382 197758 205838 224180 362764 395516 411676 453455 494395 514595 906910 988790 997601 1029190 1132109 1813820 1977580 1995202 2058380 2264218 3990404 4528436 4988005 5660545 9159791 9976010 11321090 18319582 19952020 22642180 36639164 45798955 91597910 100757701 183195820 201515402 403030804 503788505 1007577010 2015154020