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210144120 = 23359411861
BaseRepresentation
bin11001000011010…
…00101101111000
3112122102102112120
430201220231320
5412244102440
632504041240
75131124034
oct1441505570
9478372476
10210144120
11a869142a
125a463220
13346c9644
141dca31c4
15136aedd0
hexc868b78

210144120 has 64 divisors (see below), whose sum is σ = 631441440. Its totient is φ = 55948800.

The previous prime is 210144079. The next prime is 210144211. The reversal of 210144120 is 21441012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210144120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 111990 + ... + 113850.

Almost surely, 2210144120 is an apocalyptic number.

210144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210144120 is an abundant number, since it is smaller than the sum of its proper divisors (421297320).

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

210144120 is a wasteful number, since it uses less digits than its factorization.

210144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 210144120 is about 14496.3485057445. The cubic root of 210144120 is about 594.5281384732.

Adding to 210144120 its reverse (21441012), we get a palindrome (231585132).

The spelling of 210144120 in words is "two hundred ten million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 941 1861 1882 2823 3722 3764 4705 5583 5646 7444 7528 9305 9410 11166 11292 14115 14888 18610 18820 22332 22584 27915 28230 37220 37640 44664 55830 56460 74440 111660 112920 223320 1751201 3502402 5253603 7004804 8756005 10507206 14009608 17512010 21014412 26268015 35024020 42028824 52536030 70048040 105072060 210144120