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210034120 = 23529317921
BaseRepresentation
bin11001000010011…
…01110111001000
3112122012211122111
430201031313020
5412232042440
632501432104
75130155242
oct1441156710
9478184574
10210034120
11a861681a
125a40b634
133468b55a
141dc75092
151368c4ea
hexc84ddc8

210034120 has 32 divisors (see below), whose sum is σ = 474216120. Its totient is φ = 83722240.

The previous prime is 210034093. The next prime is 210034127. The reversal of 210034120 is 21430012.

It can be written as a sum of positive squares in 4 ways, for example, as 157703364 + 52330756 = 12558^2 + 7234^2 .

It is a super-2 number, since 2×2100341202 = 88228663128348800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210034120.

It is not an unprimeable number, because it can be changed into a prime (210034127) 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 7 ways as a sum of consecutive naturals, for example, 2760 + ... + 20680.

Almost surely, 2210034120 is an apocalyptic number.

210034120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210034120 is an abundant number, since it is smaller than the sum of its proper divisors (264182000).

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

210034120 is a wasteful number, since it uses less digits than its factorization.

210034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 210034120 is about 14492.5539502187. The cubic root of 210034120 is about 594.4243850595.

Adding to 210034120 its reverse (21430012), we get a palindrome (231464132).

The spelling of 210034120 in words is "two hundred ten million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 5860 11720 17921 35842 71684 89605 143368 179210 358420 716840 5250853 10501706 21003412 26254265 42006824 52508530 105017060 210034120