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212684940 = 223451310099
BaseRepresentation
bin11001010110101…
…01000010001100
3112211012111220000
430223111002030
5413421404230
633034324300
75161535466
oct1453250214
9484174800
10212684940
11aa067386
125b289690
13350a8ca0
1420365136
1513a12b60
hexcad508c

212684940 has 120 divisors (see below), whose sum is σ = 718594800. Its totient is φ = 52348032.

The previous prime is 212684921. The next prime is 212684947. The reversal of 212684940 is 49486212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212684895 and 212684904.

It is not an unprimeable number, because it can be changed into a prime (212684947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16011 + ... + 26109.

It is an arithmetic number, because the mean of its divisors is an integer number (5988290).

Almost surely, 2212684940 is an apocalyptic number.

212684940 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 212684940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359297400).

212684940 is an abundant number, since it is smaller than the sum of its proper divisors (505909860).

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

212684940 is a wasteful number, since it uses less digits than its factorization.

212684940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 212684940 is about 14583.7217472084. The cubic root of 212684940 is about 596.9146616737.

The spelling of 212684940 in words is "two hundred twelve million, six hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10099 10530 20198 21060 30297 40396 50495 60594 90891 100990 121188 131287 151485 181782 201980 262574 272673 302970 363564 393861 454455 525148 545346 605940 656435 787722 818019 908910 1090692 1181583 1312870 1363365 1575444 1636038 1817820 1969305 2363166 2625740 2726730 3272076 3544749 3938610 4090095 4726332 5453460 5907915 7089498 7877220 8180190 10634247 11815830 14178996 16360380 17723745 21268494 23631660 35447490 42536988 53171235 70894980 106342470 212684940