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642240 = 26325223
BaseRepresentation
bin10011100110011000000
31012121222200
42130303000
5131022430
621433200
75313264
oct2346300
91177880
10642240
113a9585
1226b800
13196431
1412a0a4
15ca460
hex9ccc0

642240 has 84 divisors (see below), whose sum is σ = 2218944. Its totient is φ = 170496.

The previous prime is 642233. The next prime is 642241. The reversal of 642240 is 42246.

642240 is a `hidden beast` number, since 642 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (642241) by changing a digit.

642240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2769 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (26416).

2642240 is an apocalyptic number.

642240 is a gapful number since it is divisible by the number (60) 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 642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472).

642240 is an abundant number, since it is smaller than the sum of its proper divisors (1576704).

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

642240 is a wasteful number, since it uses less digits than its factorization.

642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 642240 is about 801.3987771391. The cubic root of 642240 is about 86.2778108174.

Adding to 642240 its reverse (42246), we get a palindrome (684486).

It can be divided in two parts, 64 and 2240, that added together give a square (2304 = 482).

The spelling of 642240 in words is "six hundred forty-two 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 96 120 144 160 180 192 223 240 288 320 360 446 480 576 669 720 892 960 1115 1338 1440 1784 2007 2230 2676 2880 3345 3568 4014 4460 5352 6690 7136 8028 8920 10035 10704 13380 14272 16056 17840 20070 21408 26760 32112 35680 40140 42816 53520 64224 71360 80280 107040 128448 160560 214080 321120 642240