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214020540 = 223251189003
BaseRepresentation
bin11001100000110…
…11000110111100
3112220201100222200
430300123012330
5414242124130
633123111500
75206100406
oct1460330674
9486640880
10214020540
11aa899888
125b812590
1335455b96
14205d1b76
1513bc8760
hexcc1b1bc

214020540 has 36 divisors (see below), whose sum is σ = 649196184. Its totient is φ = 57072096.

The previous prime is 214020539. The next prime is 214020557. The reversal of 214020540 is 45020412.

214020540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594322 + ... + 594681.

Almost surely, 2214020540 is an apocalyptic number.

214020540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214020540 is an abundant number, since it is smaller than the sum of its proper divisors (435175644).

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

214020540 is a wasteful number, since it uses less digits than its factorization.

214020540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189018 (or 1189013 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214020540 is about 14629.4408642299. The cubic root of 214020540 is about 598.1615391900.

Adding to 214020540 its reverse (45020412), we get a palindrome (259040952).

The spelling of 214020540 in words is "two hundred fourteen million, twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1189003 2378006 3567009 4756012 5945015 7134018 10701027 11890030 14268036 17835045 21402054 23780060 35670090 42804108 53505135 71340180 107010270 214020540