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2302080 = 273511109
BaseRepresentation
bin1000110010000010000000
311022221212020
420302002000
51042131310
6121201440
725365414
oct10620200
94287766
102302080
111332650
12930280
13627aa1
1443cd44
15307170
hex232080

2302080 has 128 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 552960.

The previous prime is 2302067. The next prime is 2302087. The reversal of 2302080 is 802032.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21066 + ... + 21174.

22302080 is an apocalyptic number.

2302080 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 2302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

2302080 is an abundant number, since it is smaller than the sum of its proper divisors (5776320).

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

2302080 is a wasteful number, since it uses less digits than its factorization.

2302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2302080 is about 1517.2606895323. The cubic root of 2302080 is about 132.0403916794.

The spelling of 2302080 in words is "two million, three hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 109 110 120 128 132 160 165 176 192 218 220 240 264 320 327 330 352 384 436 440 480 528 545 640 654 660 704 872 880 960 1056 1090 1199 1308 1320 1408 1635 1744 1760 1920 2112 2180 2398 2616 2640 3270 3488 3520 3597 4224 4360 4796 5232 5280 5995 6540 6976 7040 7194 8720 9592 10464 10560 11990 13080 13952 14388 17440 17985 19184 20928 21120 23980 26160 28776 34880 35970 38368 41856 47960 52320 57552 69760 71940 76736 95920 104640 115104 143880 153472 191840 209280 230208 287760 383680 460416 575520 767360 1151040 2302080