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2420080 = 245132179
BaseRepresentation
bin1001001110110101110000
311112221201121
421032311300
51104420310
6123512024
726366425
oct11166560
94487647
102420080
111403273
12988614
13669700
1446dd4c
1532c0da
hex24ed70

2420080 has 60 divisors (see below), whose sum is σ = 6126840. Its totient is φ = 888576.

The previous prime is 2420071. The next prime is 2420111. The reversal of 2420080 is 800242.

2420080 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 (16).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13431 + ... + 13609.

It is an arithmetic number, because the mean of its divisors is an integer number (102114).

22420080 is an apocalyptic number.

2420080 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 2420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063420).

2420080 is an abundant number, since it is smaller than the sum of its proper divisors (3706760).

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

2420080 is a wasteful number, since it uses less digits than its factorization.

2420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2420080 is about 1555.6606313718. The cubic root of 2420080 is about 134.2589482966.

The spelling of 2420080 in words is "two million, four hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 179 208 260 338 358 520 676 716 845 895 1040 1352 1432 1690 1790 2327 2704 2864 3380 3580 4654 6760 7160 9308 11635 13520 14320 18616 23270 30251 37232 46540 60502 93080 121004 151255 186160 242008 302510 484016 605020 1210040 2420080