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211486940 = 2257330829
BaseRepresentation
bin11001001101100…
…00100011011100
3112201221122112122
430212300203130
5413120040230
632552522112
75145416000
oct1446604334
9481848478
10211486940
11a94192a5
125a9b0338
1334a79902
1420132700
1513877be5
hexc9b08dc

211486940 has 48 divisors (see below), whose sum is σ = 517944000. Its totient is φ = 72507456.

The previous prime is 211486883. The next prime is 211486949. The reversal of 211486940 is 49684112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 211486940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211486949) 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 15 ways as a sum of consecutive naturals, for example, 8555 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (10790500).

Almost surely, 2211486940 is an apocalyptic number.

211486940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211486940 is an abundant number, since it is smaller than the sum of its proper divisors (306457060).

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

211486940 is a wasteful number, since it uses less digits than its factorization.

211486940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30859 (or 30843 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 211486940 is about 14542.5905532680. The cubic root of 211486940 is about 595.7917947580.

The spelling of 211486940 in words is "two hundred eleven million, four hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 30829 61658 123316 154145 215803 308290 431606 616580 863212 1079015 1510621 2158030 3021242 4316060 6042484 7553105 10574347 15106210 21148694 30212420 42297388 52871735 105743470 211486940