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2651040 = 253257263
BaseRepresentation
bin1010000111001110100000
311222200112200
422013032200
51134313130
6132453200
731350660
oct12071640
94880480
102651040
111550847
12a7a200
1371a882
144d01a0
15375760
hex2873a0

2651040 has 144 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 603648.

The previous prime is 2651039. The next prime is 2651041. The reversal of 2651040 is 401562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2651039) and next prime (2651041).

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 zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651041) 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, 9949 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

22651040 is an apocalyptic number.

2651040 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 2651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

2651040 is an abundant number, since it is smaller than the sum of its proper divisors (7727328).

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

2651040 is a wasteful number, since it uses less digits than its factorization.

2651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2651040 is about 1628.2014617362. The cubic root of 2651040 is about 138.4008508975.

The spelling of 2651040 in words is "two million, six hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 263 280 288 315 336 360 420 480 504 526 560 630 672 720 789 840 1008 1052 1120 1260 1315 1440 1578 1680 1841 2016 2104 2367 2520 2630 3156 3360 3682 3945 4208 4734 5040 5260 5523 6312 7364 7890 8416 9205 9468 10080 10520 11046 11835 12624 14728 15780 16569 18410 18936 21040 22092 23670 25248 27615 29456 31560 33138 36820 37872 42080 44184 47340 55230 58912 63120 66276 73640 75744 82845 88368 94680 110460 126240 132552 147280 165690 176736 189360 220920 265104 294560 331380 378720 441840 530208 662760 883680 1325520 2651040