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210136320 = 28325172937
BaseRepresentation
bin11001000011001…
…10110100000000
3112122102000211200
430201212310000
5412243330240
632503541200
75131062222
oct1441466400
9478360750
10210136320
11a8686589
125a45a800
13346c5c24
141dca0412
15136ac930
hexc866d00

210136320 has 432 divisors, whose sum is σ = 817886160. Its totient is φ = 49545216.

The previous prime is 210136319. The next prime is 210136331. The reversal of 210136320 is 23631012.

210136320 is a `hidden beast` number, since 21 + 0 + 13 + 632 + 0 = 666.

210136320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20358144 + 189778176 = 4512^2 + 13776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210136293 and 210136302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5679342 + ... + 5679378.

It is an arithmetic number, because the mean of its divisors is an integer number (1893255).

Almost surely, 2210136320 is an apocalyptic number.

210136320 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 210136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408943080).

210136320 is an abundant number, since it is smaller than the sum of its proper divisors (607749840).

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

210136320 is a wasteful number, since it uses less digits than its factorization.

210136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 210136320 is about 14496.0794699808. The cubic root of 210136320 is about 594.5207826058.

Adding to 210136320 its reverse (23631012), we get a palindrome (233767332).

The spelling of 210136320 in words is "two hundred ten million, one hundred thirty-six thousand, three hundred twenty".