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211060400 = 24523117021
BaseRepresentation
bin11001001010010…
…00011010110000
3112201010222102212
430211020122300
5413012413100
632535431252
75141661305
oct1445103260
9481128385
10211060400
11a9157891
125a825528
133495a715
14200610ac
15137e1635
hexc9486b0

211060400 has 60 divisors (see below), whose sum is σ = 523460544. Its totient is φ = 81696000.

The previous prime is 211060391. The next prime is 211060403. The reversal of 211060400 is 4060112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211060403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3890 + ... + 20910.

Almost surely, 2211060400 is an apocalyptic number.

211060400 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 211060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261730272).

211060400 is an abundant number, since it is smaller than the sum of its proper divisors (312400144).

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

211060400 is a wasteful number, since it uses less digits than its factorization.

211060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17070 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211060400 is about 14527.9179513102. The cubic root of 211060400 is about 595.3909818732.

The spelling of 211060400 in words is "two hundred eleven million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 17021 34042 68084 85105 136168 170210 272336 340420 425525 527651 680840 851050 1055302 1361680 1702100 2110604 2638255 3404200 4221208 5276510 6808400 8442416 10553020 13191275 21106040 26382550 42212080 52765100 105530200 211060400