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213850060 = 225293071201
BaseRepresentation
bin11001011111100…
…01011111001100
3112220101201010121
430233301133030
5414221200220
633115314324
75204460364
oct1457613714
9486351117
10213850060
11aa792796
125b74b9a4
13353c63c8
14205899a4
1513b92eaa
hexcbf17cc

213850060 has 48 divisors (see below), whose sum is σ = 466472160. Its totient is φ = 82252800.

The previous prime is 213850037. The next prime is 213850061. The reversal of 213850060 is 60058312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213850061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177460 + ... + 178660.

It is an arithmetic number, because the mean of its divisors is an integer number (9718170).

Almost surely, 2213850060 is an apocalyptic number.

213850060 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 213850060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233236080).

213850060 is an abundant number, since it is smaller than the sum of its proper divisors (252622100).

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

213850060 is a wasteful number, since it uses less digits than its factorization.

213850060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 213850060 is about 14623.6130966324. The cubic root of 213850060 is about 598.0026733362.

The spelling of 213850060 in words is "two hundred thirteen million, eight hundred fifty thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 307 580 614 1201 1228 1535 2402 3070 4804 6005 6140 8903 12010 17806 24020 34829 35612 44515 69658 89030 139316 174145 178060 348290 368707 696580 737414 1474828 1843535 3687070 7374140 10692503 21385006 42770012 53462515 106925030 213850060