Search a number
-
+
2240940 = 223513317
BaseRepresentation
bin1000100011000110101100
311012211222210
420203012230
51033202230
6120010420
725022232
oct10430654
94184883
102240940
1112a0719
12900a10
13606000
14424952
152e3eb0
hex2231ac

2240940 has 96 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 519168.

The previous prime is 2240891. The next prime is 2240941. The reversal of 2240940 is 490422.

It is not an unprimeable number, because it can be changed into a prime (2240941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131812 + ... + 131828.

It is an arithmetic number, because the mean of its divisors is an integer number (74970).

22240940 is an apocalyptic number.

2240940 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 2240940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2240940 is an abundant number, since it is smaller than the sum of its proper divisors (4956180).

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

2240940 is a wasteful number, since it uses less digits than its factorization.

2240940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2240940 is about 1496.9769537304. The cubic root of 2240940 is about 130.8609522428.

The spelling of 2240940 in words is "two million, two hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 663 676 780 845 884 1014 1020 1105 1326 1690 2028 2197 2210 2535 2652 2873 3315 3380 4394 4420 5070 5746 6591 6630 8619 8788 10140 10985 11492 13182 13260 14365 17238 21970 26364 28730 32955 34476 37349 43095 43940 57460 65910 74698 86190 112047 131820 149396 172380 186745 224094 373490 448188 560235 746980 1120470 2240940