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2420418 = 2371113231
BaseRepresentation
bin1001001110111011000010
311112222012010
421032323002
51104423133
6123513350
726400420
oct11167302
94488163
102420418
111403550
12988856
13669900
14470110
1532c263
hex24eec2

2420418 has 96 divisors (see below), whose sum is σ = 6746112. Its totient is φ = 561600.

The previous prime is 2420417. The next prime is 2420423. The reversal of 2420418 is 8140242.

2420418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2420394 and 2420403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420417) 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 47 ways as a sum of consecutive naturals, for example, 78063 + ... + 78093.

It is an arithmetic number, because the mean of its divisors is an integer number (70272).

22420418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373056).

2420418 is an abundant number, since it is smaller than the sum of its proper divisors (4325694).

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

2420418 is a wasteful number, since it uses less digits than its factorization.

2420418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2420418 is about 1555.7692630978. The cubic root of 2420418 is about 134.2651984222.

The spelling of 2420418 in words is "two million, four hundred twenty thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 169 182 186 217 231 273 286 338 341 403 429 434 462 507 546 651 682 806 858 1001 1014 1023 1183 1209 1302 1859 2002 2046 2366 2387 2418 2821 3003 3549 3718 4433 4774 5239 5577 5642 6006 7098 7161 8463 8866 10478 11154 13013 13299 14322 15717 16926 26026 26598 31031 31434 36673 39039 57629 62062 73346 78078 93093 110019 115258 172887 186186 220038 345774 403403 806806 1210209 2420418