Search a number
-
+
2491440 = 243571483
BaseRepresentation
bin1001100000010000110000
311200120121120
421200100300
51114211230
6125222240
730114450
oct11402060
94616546
102491440
111451946
12a01980
13693033
1448bd60
15343310
hex260430

2491440 has 80 divisors (see below), whose sum is σ = 8832768. Its totient is φ = 569088.

The previous prime is 2491397. The next prime is 2491453. The reversal of 2491440 is 441942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×24914403 = 46395146774333952000, which contains 333 as substring.

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 2491440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939 + ... + 2421.

22491440 is an apocalyptic number.

2491440 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 2491440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416384).

2491440 is an abundant number, since it is smaller than the sum of its proper divisors (6341328).

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

2491440 is a wasteful number, since it uses less digits than its factorization.

2491440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

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

The square root of 2491440 is about 1578.4295993170. The cubic root of 2491440 is about 135.5658009317.

The spelling of 2491440 in words is "two million, four hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1483 1680 2966 4449 5932 7415 8898 10381 11864 14830 17796 20762 22245 23728 29660 31143 35592 41524 44490 51905 59320 62286 71184 83048 88980 103810 118640 124572 155715 166096 177960 207620 249144 311430 355920 415240 498288 622860 830480 1245720 2491440