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2420280 = 2336583
BaseRepresentation
bin1001001110111000111000
311112222000000
421032320320
51104422110
6123513000
726400132
oct11167070
94488000
102420280
111403435
12988760
13669825
14470052
1532c1c0
hex24ee38

2420280 has 112 divisors (see below), whose sum is σ = 8263080. Its totient is φ = 637632.

The previous prime is 2420279. The next prime is 2420287. The reversal of 2420280 is 820242.

2420280 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 (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420287) 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 27 ways as a sum of consecutive naturals, for example, 29119 + ... + 29201.

22420280 is an apocalyptic number.

2420280 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 2420280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131540).

2420280 is an abundant number, since it is smaller than the sum of its proper divisors (5842800).

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

2420280 is an equidigital number, since it uses as much as digits as its factorization.

2420280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2420280 is about 1555.7249114159. The cubic root of 2420280 is about 134.2626466660.

The spelling of 2420280 in words is "two million, four hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 83 90 108 120 135 162 166 180 216 243 249 270 324 332 360 405 415 486 498 540 648 664 729 747 810 830 972 996 1080 1215 1245 1458 1494 1620 1660 1944 1992 2241 2430 2490 2916 2988 3240 3320 3645 3735 4482 4860 4980 5832 5976 6723 7290 7470 8964 9720 9960 11205 13446 14580 14940 17928 20169 22410 26892 29160 29880 33615 40338 44820 53784 60507 67230 80676 89640 100845 121014 134460 161352 201690 242028 268920 302535 403380 484056 605070 806760 1210140 2420280