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211399960 = 2355284999
BaseRepresentation
bin11001001100110…
…11010100011000
3112201210020020011
430212123110120
5413104244320
632551011304
75144604262
oct1446332430
9481706204
10211399960
11a9369a12
125a969b34
1334a49145
142010cb32
151385c05a
hexc99b518

211399960 has 16 divisors (see below), whose sum is σ = 475650000. Its totient is φ = 84559968.

The previous prime is 211399933. The next prime is 211399961. The reversal of 211399960 is 69993112.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 5284999 = 211399960 / (2 + 1 + 1 + 3 + 9 + 9 + 9 + 6 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211399961) 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 3 ways as a sum of consecutive naturals, for example, 2642460 + ... + 2642539.

It is an arithmetic number, because the mean of its divisors is an integer number (29728125).

Almost surely, 2211399960 is an apocalyptic number.

211399960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211399960 is an abundant number, since it is smaller than the sum of its proper divisors (264250040).

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

211399960 is a wasteful number, since it uses less digits than its factorization.

211399960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285010 (or 5285006 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 211399960 is about 14539.5997193871. The cubic root of 211399960 is about 595.7101048022.

The spelling of 211399960 in words is "two hundred eleven million, three hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 5284999 10569998 21139996 26424995 42279992 52849990 105699980 211399960