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2469420 = 2233517269
BaseRepresentation
bin1001011010111000101100
311122110102000
421122320230
51113010140
6124532300
726663322
oct11327054
94573360
102469420
111437348
129b1090
13685cc5
14483d12
1533ba30
hex25ae2c

2469420 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 617472.

The previous prime is 2469413. The next prime is 2469421. The reversal of 2469420 is 249642.

2469420 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 (27).

It is not an unprimeable number, because it can be changed into a prime (2469421) 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 31 ways as a sum of consecutive naturals, for example, 9046 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22469420 is an apocalyptic number.

2469420 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 2469420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2469420 is an abundant number, since it is smaller than the sum of its proper divisors (5695380).

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

2469420 is a wasteful number, since it uses less digits than its factorization.

2469420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2469420 is about 1571.4388311353. The cubic root of 2469420 is about 135.1652297875.

The spelling of 2469420 in words is "two million, four hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 269 270 306 340 459 510 538 540 612 765 807 918 1020 1076 1345 1530 1614 1836 2295 2421 2690 3060 3228 4035 4573 4590 4842 5380 7263 8070 9146 9180 9684 12105 13719 14526 16140 18292 22865 24210 27438 29052 36315 41157 45730 48420 54876 68595 72630 82314 91460 123471 137190 145260 164628 205785 246942 274380 411570 493884 617355 823140 1234710 2469420