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210298842 = 23413611637
BaseRepresentation
bin11001000100011…
…10011111011010
3112122201021210000
430202032133122
5412314030332
632511233430
75132340105
oct1442163732
9478637700
10210298842
11a87876a6
125a518876
1334751bb0
141dd0373c
15136e0b7c
hexc88e7da

210298842 has 80 divisors (see below), whose sum is σ = 516107592. Its totient is φ = 63607680.

The previous prime is 210298841. The next prime is 210298849. The reversal of 210298842 is 248892012.

210298842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28291761 + 182007081 = 5319^2 + 13491^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210298797 and 210298806.

It is not an unprimeable number, because it can be changed into a prime (210298841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127648 + ... + 129284.

Almost surely, 2210298842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210298842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258053796).

210298842 is an abundant number, since it is smaller than the sum of its proper divisors (305808750).

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

210298842 is a wasteful number, since it uses less digits than its factorization.

210298842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 210298842 is about 14501.6841090957. The cubic root of 210298842 is about 594.6740129907.

The spelling of 210298842 in words is "two hundred ten million, two hundred ninety-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 81 117 122 162 183 234 351 366 549 702 793 1053 1098 1586 1637 1647 2106 2379 3274 3294 4758 4911 4941 7137 9822 9882 14274 14733 21281 21411 29466 42562 42822 44199 63843 64233 88398 99857 127686 128466 132597 191529 199714 265194 299571 383058 574587 599142 898713 1149174 1298141 1723761 1797426 2596282 2696139 3447522 3894423 5392278 7788846 8088417 11683269 16176834 23366538 35049807 70099614 105149421 210298842