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4830920 = 235235989
BaseRepresentation
bin10010011011011011001000
3100002102202222
4102123123020
52214042140
6251313212
756030213
oct22333310
910072688
104830920
1127aa5a6
12174b808
131001b43
148da77a
156565b5
hex49b6c8

4830920 has 64 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 1796608.

The previous prime is 4830913. The next prime is 4830923. The reversal of 4830920 is 290384.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4830920.

It is not an unprimeable number, because it can be changed into a prime (4830923) 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, 54236 + ... + 54324.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 24830920 is an apocalyptic number.

4830920 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 4830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

4830920 is an abundant number, since it is smaller than the sum of its proper divisors (6833080).

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

4830920 is a wasteful number, since it uses less digits than its factorization.

4830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4830920 is about 2197.9353948649. The cubic root of 4830920 is about 169.0479655642.

The spelling of 4830920 in words is "four million, eight hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 89 92 115 118 178 184 230 236 295 356 445 460 472 590 712 890 920 1180 1357 1780 2047 2360 2714 3560 4094 5251 5428 6785 8188 10235 10502 10856 13570 16376 20470 21004 26255 27140 40940 42008 52510 54280 81880 105020 120773 210040 241546 483092 603865 966184 1207730 2415460 4830920