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210504042 = 23373731493
BaseRepresentation
bin11001000110000…
…00100101101010
3112200002201021000
430203000211222
5412342112132
632515455430
75134153260
oct1443004552
9480081230
10210504042
11a8907891
125a5b7576
13347c4408
141dd58430
151373187c
hexc8c096a

210504042 has 64 divisors (see below), whose sum is σ = 536405760. Its totient is φ = 59942592.

The previous prime is 210504037. The next prime is 210504109. The reversal of 210504042 is 240405012.

210504042 is a `hidden beast` number, since 210 + 50 + 404 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 140248 + ... + 141740.

It is an arithmetic number, because the mean of its divisors is an integer number (8381340).

Almost surely, 2210504042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210504042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268202880).

210504042 is an abundant number, since it is smaller than the sum of its proper divisors (325901718).

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

210504042 is a wasteful number, since it uses less digits than its factorization.

210504042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 210504042 is about 14508.7574243972. The cubic root of 210504042 is about 594.8673686908.

Adding to 210504042 its reverse (240405012), we get a palindrome (450909054).

The spelling of 210504042 in words is "two hundred ten million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 373 378 746 1119 1493 2238 2611 2986 3357 4479 5222 6714 7833 8958 10071 10451 13437 15666 20142 20902 23499 26874 31353 40311 46998 62706 70497 80622 94059 140994 188118 282177 556889 564354 1113778 1670667 3341334 3898223 5012001 7796446 10024002 11694669 15036003 23389338 30072006 35084007 70168014 105252021 210504042