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212659980 = 2235131032647
BaseRepresentation
bin11001010110011…
…10111100001100
3112211011020122120
430223032330030
5413420104410
633034012540
75161402641
oct1453167414
9484136576
10212659980
11aa04a655
125b277150
133509a810
1420359dc8
1513a0a570
hexcacef0c

212659980 has 96 divisors (see below), whose sum is σ = 647721984. Its totient is φ = 51819264.

The previous prime is 212659963. The next prime is 212659999. The reversal of 212659980 is 89956212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79017 + ... + 81663.

It is an arithmetic number, because the mean of its divisors is an integer number (6747104).

Almost surely, 2212659980 is an apocalyptic number.

212659980 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 212659980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323860992).

212659980 is an abundant number, since it is smaller than the sum of its proper divisors (435062004).

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

212659980 is a wasteful number, since it uses less digits than its factorization.

212659980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 212659980 is about 14582.8659734635. The cubic root of 212659980 is about 596.8913101178.

The spelling of 212659980 in words is "two hundred twelve million, six hundred fifty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2647 2678 3090 4017 5294 5356 6180 6695 7941 8034 10588 13235 13390 15882 16068 20085 26470 26780 31764 34411 39705 40170 52940 68822 79410 80340 103233 137644 158820 172055 206466 272641 344110 412932 516165 545282 688220 817923 1032330 1090564 1363205 1635846 2064660 2726410 3271692 3544333 4089615 5452820 7088666 8179230 10632999 14177332 16358460 17721665 21265998 35443330 42531996 53164995 70886660 106329990 212659980