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213030060 = 223517732861
BaseRepresentation
bin11001011001010…
…01010010101100
3112211212001022020
430230221102230
5414013430220
633045550140
75164503615
oct1454512254
9484761266
10213030060
11aa282701
125b415350
133519a0b9
1420414c0c
1513a80040
hexcb294ac

213030060 has 96 divisors (see below), whose sum is σ = 640446912. Its totient is φ = 52715520.

The previous prime is 213030029. The next prime is 213030067. The reversal of 213030060 is 60030312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213030067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73030 + ... + 75890.

It is an arithmetic number, because the mean of its divisors is an integer number (6671322).

Almost surely, 2213030060 is an apocalyptic number.

213030060 is a gapful number since it is divisible by the number (20) 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 213030060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320223456).

213030060 is an abundant number, since it is smaller than the sum of its proper divisors (427416852).

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

213030060 is a wasteful number, since it uses less digits than its factorization.

213030060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213030060 is about 14595.5493216254. The cubic root of 213030060 is about 597.2373547306.

Adding to 213030060 its reverse (60030312), we get a palindrome (273060372).

The spelling of 213030060 in words is "two hundred thirteen million, thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 292 340 365 438 510 730 876 1020 1095 1241 1460 2190 2482 2861 3723 4380 4964 5722 6205 7446 8583 11444 12410 14305 14892 17166 18615 24820 28610 34332 37230 42915 48637 57220 74460 85830 97274 145911 171660 194548 208853 243185 291822 417706 486370 583644 626559 729555 835412 972740 1044265 1253118 1459110 2088530 2506236 2918220 3132795 3550501 4177060 6265590 7101002 10651503 12531180 14202004 17752505 21303006 35505010 42606012 53257515 71010020 106515030 213030060