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2263040 = 21151317
BaseRepresentation
bin1000101000100000000000
311020222022022
420220200000
51034404130
6120301012
725143533
oct10504000
94228268
102263040
11130628a
12911768
136130a0
1442ca1a
152ea7e5
hex228800

2263040 has 96 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 786432.

The previous prime is 2263007. The next prime is 2263061. The reversal of 2263040 is 403622.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 541696 = 1312^2 + 736^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133112 + ... + 133128.

22263040 is an apocalyptic number.

2263040 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 2263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

2263040 is an abundant number, since it is smaller than the sum of its proper divisors (3928600).

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

2263040 is a wasteful number, since it uses less digits than its factorization.

2263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2263040 is about 1504.3403870135. The cubic root of 2263040 is about 131.2897264476.

Adding to 2263040 its reverse (403622), we get a palindrome (2666662).

The spelling of 2263040 in words is "two million, two hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 256 260 272 320 340 416 442 512 520 544 640 680 832 884 1024 1040 1088 1105 1280 1360 1664 1768 2048 2080 2176 2210 2560 2720 3328 3536 4160 4352 4420 5120 5440 6656 7072 8320 8704 8840 10240 10880 13312 14144 16640 17408 17680 21760 26624 28288 33280 34816 35360 43520 56576 66560 70720 87040 113152 133120 141440 174080 226304 282880 452608 565760 1131520 2263040