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2010240 = 27325349
BaseRepresentation
bin111101010110010000000
310210010112100
413222302000
51003311430
6111030400
723041521
oct7526200
93703470
102010240
111153361
1280b400
13554cbb
143a4848
1529a960
hex1eac80

2010240 has 96 divisors (see below), whose sum is σ = 6961500. Its totient is φ = 534528.

The previous prime is 2010227. The next prime is 2010241. The reversal of 2010240 is 420102.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 5184 = 1416^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2010241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5586 + ... + 5934.

22010240 is an apocalyptic number.

2010240 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 2010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480750).

2010240 is an abundant number, since it is smaller than the sum of its proper divisors (4951260).

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

2010240 is a wasteful number, since it uses less digits than its factorization.

2010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2010240 is about 1417.8293268232. The cubic root of 2010240 is about 126.2067655770.

Adding to 2010240 its reverse (420102), we get a palindrome (2430342).

The spelling of 2010240 in words is "two million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 349 360 384 480 576 640 698 720 960 1047 1152 1396 1440 1745 1920 2094 2792 2880 3141 3490 4188 5235 5584 5760 6282 6980 8376 10470 11168 12564 13960 15705 16752 20940 22336 25128 27920 31410 33504 41880 44672 50256 55840 62820 67008 83760 100512 111680 125640 134016 167520 201024 223360 251280 335040 402048 502560 670080 1005120 2010240