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210119052 = 223111329419
BaseRepresentation
bin11001000011000…
…10100110001100
3112122101011011010
430201202212030
5412242302202
632503325220
75130660663
oct1441424614
9478334133
10210119052
11a8674610
125a450810
13346bb100
141dc97dda
15136a776c
hexc86298c

210119052 has 72 divisors (see below), whose sum is σ = 579216960. Its totient is φ = 58768320.

The previous prime is 210119047. The next prime is 210119057. The reversal of 210119052 is 250911012.

It is an interprime number because it is at equal distance from previous prime (210119047) and next prime (210119057).

It is not an unprimeable number, because it can be changed into a prime (210119057) by changing a digit.

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, 17599 + ... + 27017.

It is an arithmetic number, because the mean of its divisors is an integer number (8044680).

Almost surely, 2210119052 is an apocalyptic number.

210119052 is a gapful number since it is divisible by the number (22) 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 210119052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289608480).

210119052 is an abundant number, since it is smaller than the sum of its proper divisors (369097908).

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

210119052 is a wasteful number, since it uses less digits than its factorization.

210119052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 210119052 is about 14495.4838484267. The cubic root of 210119052 is about 594.5044971994.

The spelling of 210119052 in words is "two hundred ten million, one hundred nineteen thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 3718 5577 7436 9419 11154 18838 22308 28257 37676 56514 103609 113028 122447 207218 244894 310827 367341 414436 489788 621654 734682 1243308 1346917 1469364 1591811 2693834 3183622 4040751 4775433 5387668 6367244 8081502 9550866 16163004 17509921 19101732 35019842 52529763 70039684 105059526 210119052