Search a number
-
+
2674320 = 2435111013
BaseRepresentation
bin1010001100111010010000
312000212110220
422030322100
51141034240
6133153040
731505565
oct12147220
95025426
102674320
111567290
12a8b780
1372834c
144d886c
1537c5d0
hex28ce90

2674320 has 80 divisors (see below), whose sum is σ = 9052992. Its totient is φ = 647680.

The previous prime is 2674319. The next prime is 2674333. The reversal of 2674320 is 234762.

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

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

It is a d-powerful number, because it can be written as 219 + 6 + 75 + 47 + 39 + 221 + 0 .

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, 2134 + ... + 3146.

22674320 is an apocalyptic number.

2674320 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 2674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526496).

2674320 is an abundant number, since it is smaller than the sum of its proper divisors (6378672).

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

2674320 is a wasteful number, since it uses less digits than its factorization.

2674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2674320 is about 1635.3348281010. The cubic root of 2674320 is about 138.8047912815.

The spelling of 2674320 in words is "two million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1013 1320 2026 2640 3039 4052 5065 6078 8104 10130 11143 12156 15195 16208 20260 22286 24312 30390 33429 40520 44572 48624 55715 60780 66858 81040 89144 111430 121560 133716 167145 178288 222860 243120 267432 334290 445720 534864 668580 891440 1337160 2674320