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212796060 = 223553611097
BaseRepresentation
bin11001010111100…
…00001010011100
3112211102011022120
430223300022130
5413433433220
633040542540
75162510451
oct1453601234
9484364276
10212796060
11aa132914
125b321a50
1335117739
1420393828
1513a35a40
hexcaf029c

212796060 has 96 divisors (see below), whose sum is σ = 617585472. Its totient is φ = 54712320.

The previous prime is 212796053. The next prime is 212796071. The reversal of 212796060 is 60697212.

It is a congruent number.

It is an unprimeable number.

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, 193432 + ... + 194528.

It is an arithmetic number, because the mean of its divisors is an integer number (6433182).

Almost surely, 2212796060 is an apocalyptic number.

212796060 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 212796060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308792736).

212796060 is an abundant number, since it is smaller than the sum of its proper divisors (404789412).

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

212796060 is a wasteful number, since it uses less digits than its factorization.

212796060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 212796060 is about 14587.5309768309. The cubic root of 212796060 is about 597.0185988387.

The spelling of 212796060 in words is "two hundred twelve million, seven hundred ninety-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 61 106 122 159 183 212 244 265 305 318 366 530 610 636 732 795 915 1060 1097 1220 1590 1830 2194 3180 3233 3291 3660 4388 5485 6466 6582 9699 10970 12932 13164 16165 16455 19398 21940 32330 32910 38796 48495 58141 64660 65820 66917 96990 116282 133834 174423 193980 200751 232564 267668 290705 334585 348846 401502 581410 669170 697692 803004 872115 1003755 1162820 1338340 1744230 2007510 3488460 3546601 4015020 7093202 10639803 14186404 17733005 21279606 35466010 42559212 53199015 70932020 106398030 212796060