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2149440 = 26352239
BaseRepresentation
bin1000001100110001000000
311001012110220
420030301000
51022240230
6114023040
724161406
oct10146100
94035426
102149440
1112389a7
12877a80
135a3477
143dd476
152c6d10
hex20cc40

2149440 has 56 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 572928.

The previous prime is 2149421. The next prime is 2149453. The reversal of 2149440 is 449412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2149440.

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, 160 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (121920).

22149440 is an apocalyptic number.

2149440 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 2149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2149440 is an abundant number, since it is smaller than the sum of its proper divisors (4678080).

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

2149440 is a wasteful number, since it uses less digits than its factorization.

2149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2149440 is about 1466.0968590103. The cubic root of 2149440 is about 129.0550813391.

The spelling of 2149440 in words is "two million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2239 4478 6717 8956 11195 13434 17912 22390 26868 33585 35824 44780 53736 67170 71648 89560 107472 134340 143296 179120 214944 268680 358240 429888 537360 716480 1074720 2149440