Search a number
-
+
2633040 = 243352353
BaseRepresentation
bin1010000010110101010000
311221202212000
422002311100
51133224130
6132234000
731244334
oct12026520
94852760
102633040
111539273
12a6b900
13712617
144c77c4
15370260
hex282d50

2633040 has 160 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 658944.

The previous prime is 2633023. The next prime is 2633041. The reversal of 2633040 is 403362.

2633040 is nontrivially palindromic in base 14.

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 (2633041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49654 + ... + 49706.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

22633040 is an apocalyptic number.

2633040 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 2633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

2633040 is an abundant number, since it is smaller than the sum of its proper divisors (7009200).

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

2633040 is a wasteful number, since it uses less digits than its factorization.

2633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2633040 is about 1622.6644754847. The cubic root of 2633040 is about 138.0869017862.

The spelling of 2633040 in words is "two million, six hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 53 54 60 69 72 80 90 92 106 108 115 120 135 138 144 159 180 184 207 212 216 230 240 265 270 276 318 345 360 368 414 424 432 460 477 530 540 552 621 636 690 720 795 828 848 920 954 1035 1060 1080 1104 1219 1242 1272 1380 1431 1590 1656 1840 1908 2070 2120 2160 2385 2438 2484 2544 2760 2862 3105 3180 3312 3657 3816 4140 4240 4770 4876 4968 5520 5724 6095 6210 6360 7155 7314 7632 8280 9540 9752 9936 10971 11448 12190 12420 12720 14310 14628 16560 18285 19080 19504 21942 22896 24380 24840 28620 29256 32913 36570 38160 43884 48760 49680 54855 57240 58512 65826 73140 87768 97520 109710 114480 131652 146280 164565 175536 219420 263304 292560 329130 438840 526608 658260 877680 1316520 2633040