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210003420 = 223511595393
BaseRepresentation
bin11001000010001…
…10010111011100
3112122011021112110
430201012113130
5412230102140
632501034020
75126666604
oct1441062734
9478137473
10210003420
11a85a5750
125a3b5910
133467a5a3
141dc67c04
1513683380
hexc8465dc

210003420 has 96 divisors (see below), whose sum is σ = 652458240. Its totient is φ = 50037760.

The previous prime is 210003389. The next prime is 210003427. The reversal of 210003420 is 24300012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210003396 and 210003405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210003427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36244 + ... + 41636.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2210003420 is an apocalyptic number.

210003420 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 210003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326229120).

210003420 is an abundant number, since it is smaller than the sum of its proper divisors (442454820).

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

210003420 is a wasteful number, since it uses less digits than its factorization.

210003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 210003420 is about 14491.4947469197. The cubic root of 210003420 is about 594.3954219593.

Adding to 210003420 its reverse (24300012), we get a palindrome (234303432).

The spelling of 210003420 in words is "two hundred ten million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 5393 6490 7788 9735 10786 12980 16179 19470 21572 26965 32358 38940 53930 59323 64716 80895 107860 118646 161790 177969 237292 296615 318187 323580 355938 593230 636374 711876 889845 954561 1186460 1272748 1590935 1779690 1909122 3181870 3500057 3559380 3818244 4772805 6363740 7000114 9545610 10500171 14000228 17500285 19091220 21000342 35000570 42000684 52500855 70001140 105001710 210003420