Search a number
-
+
2002440 = 2335113741
BaseRepresentation
bin111101000111000001000
310202201211110
413220320020
51003034230
6110530320
723010006
oct7507010
93681743
102002440
111148510
128069a0
1355159b
143a1a76
152984b0
hex1e8e08

2002440 has 128 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 460800.

The previous prime is 2002417. The next prime is 2002453. The reversal of 2002440 is 442002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48820 + ... + 48860.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

22002440 is an apocalyptic number.

2002440 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 2002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2002440 is an abundant number, since it is smaller than the sum of its proper divisors (4892280).

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

2002440 is a wasteful number, since it uses less digits than its factorization.

2002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002440 is about 1415.0759696921. The cubic root of 2002440 is about 126.0433209567.

Adding to 2002440 its reverse (442002), we get a palindrome (2444442).

It can be divided in two parts, 2002 and 440, that added together give a palindrome (2442).

The spelling of 2002440 in words is "two million, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 41 44 55 60 66 74 82 88 110 111 120 123 132 148 164 165 185 205 220 222 246 264 296 328 330 370 407 410 440 444 451 492 555 615 660 740 814 820 888 902 984 1110 1221 1230 1320 1353 1480 1517 1628 1640 1804 2035 2220 2255 2442 2460 2706 3034 3256 3608 4070 4440 4510 4551 4884 4920 5412 6068 6105 6765 7585 8140 9020 9102 9768 10824 12136 12210 13530 15170 16280 16687 18040 18204 22755 24420 27060 30340 33374 36408 45510 48840 50061 54120 60680 66748 83435 91020 100122 133496 166870 182040 200244 250305 333740 400488 500610 667480 1001220 2002440