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210996828 = 22327857977
BaseRepresentation
bin11001001001110…
…00111001011100
3112201000202020100
430210320321130
5413003344303
632534221100
75141305050
oct1444707134
9481022210
10210996828
11a9114049
125a7b4790
13349377c3
1420045c60
15137cc8a3
hexc938e5c

210996828 has 72 divisors (see below), whose sum is σ = 610882272. Its totient is φ = 60152832.

The previous prime is 210996827. The next prime is 210996833. The reversal of 210996828 is 828699012.

210996828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2109968282 = 89039322852123168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210996823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215476 + ... + 216452.

It is an arithmetic number, because the mean of its divisors is an integer number (8484476).

Almost surely, 2210996828 is an apocalyptic number.

210996828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

210996828 is an abundant number, since it is smaller than the sum of its proper divisors (399885444).

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

210996828 is a wasteful number, since it uses less digits than its factorization.

210996828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 210996828 is about 14525.7298611808. The cubic root of 210996828 is about 595.3311980446.

The spelling of 210996828 in words is "two hundred ten million, nine hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 857 977 1714 1954 2571 2931 3428 3908 5142 5862 5999 6839 7713 8793 10284 11724 11998 13678 15426 17586 17997 20517 23996 27356 30852 35172 35994 41034 53991 61551 71988 82068 107982 123102 215964 246204 837289 1674578 2511867 3349156 5023734 5861023 7535601 10047468 11722046 15071202 17583069 23444092 30142404 35166138 52749207 70332276 105498414 210996828