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2602080 = 2532513139
BaseRepresentation
bin1001111011010001100000
311220012101100
421323101200
51131231310
6131434400
731055145
oct11732140
94805340
102602080
111517a88
12a55a00
137014c0
144ba3cc
15365ec0
hex27b460

2602080 has 144 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 635904.

The previous prime is 2602073. The next prime is 2602081. The reversal of 2602080 is 802062.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18651 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (66885).

22602080 is an apocalyptic number.

2602080 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 2602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

2602080 is an abundant number, since it is smaller than the sum of its proper divisors (7029360).

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

2602080 is a wasteful number, since it uses less digits than its factorization.

2602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2602080 is about 1613.0964013350. The cubic root of 2602080 is about 137.5435454366.

Subtracting from 2602080 its sum of digits (18), we obtain a palindrome (2602062).

The spelling of 2602080 in words is "two million, six hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 139 144 156 160 180 195 208 234 240 260 278 288 312 360 390 416 417 468 480 520 556 585 624 695 720 780 834 936 1040 1112 1170 1248 1251 1390 1440 1560 1668 1807 1872 2080 2085 2224 2340 2502 2780 3120 3336 3614 3744 4170 4448 4680 5004 5421 5560 6240 6255 6672 7228 8340 9035 9360 10008 10842 11120 12510 13344 14456 16263 16680 18070 18720 20016 21684 22240 25020 27105 28912 32526 33360 36140 40032 43368 50040 54210 57824 65052 66720 72280 81315 86736 100080 108420 130104 144560 162630 173472 200160 216840 260208 289120 325260 433680 520416 650520 867360 1301040 2602080