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210242320 = 2458331663
BaseRepresentation
bin11001000100000…
…00101100010000
3112122121102020121
430202000230100
5412310223240
632510120024
75132013241
oct1442005420
9478542217
10210242320
11a8749192
125a4b0014
1334732252
141dccacc8
15136ce04a
hexc880b10

210242320 has 40 divisors (see below), whose sum is σ = 494718336. Its totient is φ = 83081088.

The previous prime is 210242317. The next prime is 210242321. The reversal of 210242320 is 23242012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210242294 and 210242303.

It is not an unprimeable number, because it can be changed into a prime (210242321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9192 + ... + 22471.

Almost surely, 2210242320 is an apocalyptic number.

210242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210242320 is an abundant number, since it is smaller than the sum of its proper divisors (284476016).

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

210242320 is a wasteful number, since it uses less digits than its factorization.

210242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31759 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 210242320 is about 14499.7351699953. The cubic root of 210242320 is about 594.6207313907.

Adding to 210242320 its reverse (23242012), we get a palindrome (233484332).

The spelling of 210242320 in words is "two hundred ten million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 31663 63326 126652 158315 253304 316630 506608 633260 1266520 2533040 2628029 5256058 10512116 13140145 21024232 26280290 42048464 52560580 105121160 210242320