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210077028 = 223274717737
BaseRepresentation
bin11001000010110…
…00010101100100
3112122022000111200
430201120111210
5412234431103
632502402500
75130424320
oct1441302544
9478260450
10210077028
11a8645a87
125a430430
13346a4c45
141dc86980
151369a0a3
hexc858564

210077028 has 72 divisors (see below), whose sum is σ = 619836672. Its totient is φ = 58741632.

The previous prime is 210077017. The next prime is 210077069. The reversal of 210077028 is 820770012.

210077028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210076992 and 210077010.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2976 + ... + 20712.

Almost surely, 2210077028 is an apocalyptic number.

210077028 is a gapful number since it is divisible by the number (28) 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 210077028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309918336).

210077028 is an abundant number, since it is smaller than the sum of its proper divisors (409759644).

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

210077028 is a wasteful number, since it uses less digits than its factorization.

210077028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17801 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 210077028 is about 14494.0342210166. The cubic root of 210077028 is about 594.4648607449.

The spelling of 210077028 in words is "two hundred ten million, seventy-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 17737 35474 53211 70948 106422 124159 159633 212844 248318 319266 372477 496636 638532 744954 833639 1117431 1489908 1667278 2234862 2500917 3334556 4469724 5001834 5835473 7502751 10003668 11670946 15005502 17506419 23341892 30011004 35012838 52519257 70025676 105038514 210077028