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216432060 = 223513594703
BaseRepresentation
bin11001110011001…
…11110110111100
3120002020212222020
430321213312330
5420401311220
633250520140
75235433155
oct1471476674
9502225866
10216432060
11101196679
1260596050
1335abb710
1420a5c92c
1514003040
hexce67dbc

216432060 has 96 divisors (see below), whose sum is σ = 663828480. Its totient is φ = 52361472.

The previous prime is 216432031. The next prime is 216432061. The reversal of 216432060 is 60234612.

It is a self number, because there is not a number n which added to its sum of digits gives 216432060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216432061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43669 + ... + 48371.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2216432060 is an apocalyptic number.

216432060 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 216432060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331914240).

216432060 is an abundant number, since it is smaller than the sum of its proper divisors (447396420).

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

216432060 is a wasteful number, since it uses less digits than its factorization.

216432060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 216432060 is about 14711.6300932290. The cubic root of 216432060 is about 600.3997891108.

Adding to 216432060 its reverse (60234612), we get a palindrome (276666672).

The spelling of 216432060 in words is "two hundred sixteen million, four hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 177 195 236 260 295 354 390 590 708 767 780 885 1180 1534 1770 2301 3068 3540 3835 4602 4703 7670 9204 9406 11505 14109 15340 18812 23010 23515 28218 46020 47030 56436 61139 70545 94060 122278 141090 183417 244556 277477 282180 305695 366834 554954 611390 733668 832431 917085 1109908 1222780 1387385 1664862 1834170 2774770 3329724 3607201 3668340 4162155 5549540 7214402 8324310 10821603 14428804 16648620 18036005 21643206 36072010 43286412 54108015 72144020 108216030 216432060