Search a number
-
+
2815040 = 26519463
BaseRepresentation
bin1010101111010001000000
312022000111202
422233101000
51210040130
6140200332
732633054
oct12572100
95260452
102815040
111652a88
12b390a8
13777407
14533c64
153a9145
hex2af440

2815040 has 56 divisors (see below), whose sum is σ = 7071360. Its totient is φ = 1064448.

The previous prime is 2815009. The next prime is 2815049. The reversal of 2815040 is 405182.

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

It is not an unprimeable number, because it can be changed into a prime (2815049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5849 + ... + 6311.

22815040 is an apocalyptic number.

2815040 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 2815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535680).

2815040 is an abundant number, since it is smaller than the sum of its proper divisors (4256320).

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

2815040 is a wasteful number, since it uses less digits than its factorization.

2815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2815040 is about 1677.8080939130. The cubic root of 2815040 is about 141.1978845513.

The spelling of 2815040 in words is "two million, eight hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 463 608 760 926 1216 1520 1852 2315 3040 3704 4630 6080 7408 8797 9260 14816 17594 18520 29632 35188 37040 43985 70376 74080 87970 140752 148160 175940 281504 351880 563008 703760 1407520 2815040