Search a number
-
+
2654080 = 275111329
BaseRepresentation
bin1010000111111110000000
311222211201021
422013332000
51134412310
6132515224
731362562
oct12077600
94884637
102654080
111553060
12a7bb14
1371c080
144d1332
153765da
hex287f80

2654080 has 128 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 860160.

The previous prime is 2654059. The next prime is 2654083. The reversal of 2654080 is 804562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91506 + ... + 91534.

22654080 is an apocalyptic number.

2654080 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 2654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2654080 is an abundant number, since it is smaller than the sum of its proper divisors (5057120).

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

2654080 is a wasteful number, since it uses less digits than its factorization.

2654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2654080 is about 1629.1347396701. The cubic root of 2654080 is about 138.4537330200.

The spelling of 2654080 in words is "two million, six hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 64 65 80 88 104 110 116 128 130 143 145 160 176 208 220 232 260 286 290 319 320 352 377 416 440 464 520 572 580 638 640 704 715 754 832 880 928 1040 1144 1160 1276 1408 1430 1508 1595 1664 1760 1856 1885 2080 2288 2320 2552 2860 3016 3190 3520 3712 3770 4147 4160 4576 4640 5104 5720 6032 6380 7040 7540 8294 8320 9152 9280 10208 11440 12064 12760 15080 16588 18304 18560 20416 20735 22880 24128 25520 30160 33176 40832 41470 45760 48256 51040 60320 66352 82940 91520 102080 120640 132704 165880 204160 241280 265408 331760 530816 663520 1327040 2654080