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210623420 = 225723149439
BaseRepresentation
bin11001000110111…
…01101110111100
3112200022210000102
430203131232330
5412404422140
632522220232
75135161310
oct1443355674
9480283012
10210623420
11a8989547
125a654678
1334836857
141dd89b40
1513756e15
hexc8ddbbc

210623420 has 96 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 68454144.

The previous prime is 210623381. The next prime is 210623447. The reversal of 210623420 is 24326012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210623392 and 210623401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479561 + ... + 479999.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2210623420 is an apocalyptic number.

210623420 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 210623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

210623420 is an abundant number, since it is smaller than the sum of its proper divisors (321600580).

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

210623420 is a wasteful number, since it uses less digits than its factorization.

210623420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 210623420 is about 14512.8708393619. The cubic root of 210623420 is about 594.9797982925.

Adding to 210623420 its reverse (24326012), we get a palindrome (234949432).

The spelling of 210623420 in words is "two hundred ten million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 149 161 230 298 322 439 460 596 644 745 805 878 1043 1490 1610 1756 2086 2195 2980 3073 3220 3427 4172 4390 5215 6146 6854 8780 10097 10430 12292 13708 15365 17135 20194 20860 23989 30730 34270 40388 47978 50485 61460 65411 68540 70679 95956 100970 119945 130822 141358 201940 239890 261644 282716 327055 353395 457877 479780 654110 706790 915754 1308220 1413580 1504453 1831508 2289385 3008906 4578770 6017812 7522265 9157540 10531171 15044530 21062342 30089060 42124684 52655855 105311710 210623420