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210012040 = 2357315307
BaseRepresentation
bin11001000010010…
…00011110001000
3112122011201100201
430201020132020
5412230341130
632501141544
75130034000
oct1441103610
9478151321
10210012040
11a8601177
125a3ba8b4
13346814a4
141dc6b000
1513685bca
hexc848788

210012040 has 64 divisors (see below), whose sum is σ = 551088000. Its totient is φ = 71999424.

The previous prime is 210012029. The next prime is 210012041. The reversal of 210012040 is 40210012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210012041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6067 + ... + 21373.

It is an arithmetic number, because the mean of its divisors is an integer number (8610750).

Almost surely, 2210012040 is an apocalyptic number.

210012040 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 210012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275544000).

210012040 is an abundant number, since it is smaller than the sum of its proper divisors (341075960).

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

210012040 is a wasteful number, since it uses less digits than its factorization.

210012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 210012040 is about 14491.7921597020. The cubic root of 210012040 is about 594.4035545545.

Adding to 210012040 its reverse (40210012), we get a palindrome (250222052).

The spelling of 210012040 in words is "two hundred ten million, twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 15307 30614 61228 76535 107149 122456 153070 214298 306140 428596 535745 612280 750043 857192 1071490 1500086 2142980 3000172 3750215 4285960 5250301 6000344 7500430 10500602 15000860 21001204 26251505 30001720 42002408 52503010 105006020 210012040