Search a number
-
+
2674080 = 25335619
BaseRepresentation
bin1010001100110110100000
312000212011000
422030312200
51141032310
6133152000
731505103
oct12146640
95025130
102674080
111567092
12a8b600
137281c6
144d873a
1537c4c0
hex28cda0

2674080 has 96 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 711936.

The previous prime is 2674069. The next prime is 2674093. The reversal of 2674080 is 804762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4011 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

22674080 is an apocalyptic number.

2674080 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 2674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2674080 is an abundant number, since it is smaller than the sum of its proper divisors (6700320).

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

2674080 is a wasteful number, since it uses less digits than its factorization.

2674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2674080 is about 1635.2614469864. The cubic root of 2674080 is about 138.8006389305.

The spelling of 2674080 in words is "two million, six hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 619 720 864 1080 1238 1440 1857 2160 2476 3095 3714 4320 4952 5571 6190 7428 9285 9904 11142 12380 14856 16713 18570 19808 22284 24760 27855 29712 33426 37140 44568 49520 55710 59424 66852 74280 83565 89136 99040 111420 133704 148560 167130 178272 222840 267408 297120 334260 445680 534816 668520 891360 1337040 2674080