Search a number
-
+
2812440 = 2335231019
BaseRepresentation
bin1010101110101000011000
312021212221110
422232220120
51204444230
6140140320
732622351
oct12565030
95255843
102812440
111651034
12b376a0
13776187
14532d28
153a84b0
hex2aea18

2812440 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 716672.

The previous prime is 2812423. The next prime is 2812441. The reversal of 2812440 is 442182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

22812440 is an apocalyptic number.

2812440 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 2812440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2812440 is an abundant number, since it is smaller than the sum of its proper divisors (6000360).

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

2812440 is a wasteful number, since it uses less digits than its factorization.

2812440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2812440 is about 1677.0330944856. The cubic root of 2812440 is about 141.1544005533.

The spelling of 2812440 in words is "two million, eight hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1019 1380 2038 2760 3057 4076 5095 6114 8152 10190 12228 15285 20380 23437 24456 30570 40760 46874 61140 70311 93748 117185 122280 140622 187496 234370 281244 351555 468740 562488 703110 937480 1406220 2812440