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4668240 = 243553367
BaseRepresentation
bin10001110011101101010000
322210011121210
4101303231100
52143340430
6244020120
754452013
oct21635520
98704553
104668240
1126a9355
121691640
13c75a95
1489737a
156232b0
hex473b50

4668240 has 80 divisors (see below), whose sum is σ = 14784768. Its totient is φ = 1218048.

The previous prime is 4668233. The next prime is 4668247. The reversal of 4668240 is 428664.

It is an interprime number because it is at equal distance from previous prime (4668233) and next prime (4668247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 49 + 64 + 66 + 85 + 217 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4668198 and 4668207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12537 + ... + 12903.

Almost surely, 24668240 is an apocalyptic number.

4668240 is a gapful number since it is divisible by the number (40) 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 4668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392384).

4668240 is an abundant number, since it is smaller than the sum of its proper divisors (10116528).

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

4668240 is a wasteful number, since it uses less digits than its factorization.

4668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4668240 is about 2160.6110246872. The cubic root of 4668240 is about 167.1287090286.

It can be divided in two parts, 46 and 68240, that added together give a palindrome (68286).

The spelling of 4668240 in words is "four million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 367 424 530 636 734 795 848 1060 1101 1272 1468 1590 1835 2120 2202 2544 2936 3180 3670 4240 4404 5505 5872 6360 7340 8808 11010 12720 14680 17616 19451 22020 29360 38902 44040 58353 77804 88080 97255 116706 155608 194510 233412 291765 311216 389020 466824 583530 778040 933648 1167060 1556080 2334120 4668240