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212860704 = 25372371223
BaseRepresentation
bin11001010111111…
…11111100100000
3112211112102222210
430223333330200
5413443020304
633042202120
75163200100
oct1453777440
9484472883
10212860704
11aa177441
125b353340
133513aca4
14203ad200
1513a49c89
hexcafff20

212860704 has 144 divisors (see below), whose sum is σ = 668098368. Its totient is φ = 59125248.

The previous prime is 212860679. The next prime is 212860709. The reversal of 212860704 is 407068212.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (212860709) 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 23 ways as a sum of consecutive naturals, for example, 173437 + ... + 174659.

It is an arithmetic number, because the mean of its divisors is an integer number (4639572).

Almost surely, 2212860704 is an apocalyptic number.

212860704 is a gapful number since it is divisible by the number (24) 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 212860704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334049184).

212860704 is an abundant number, since it is smaller than the sum of its proper divisors (455237664).

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

212860704 is a wasteful number, since it uses less digits than its factorization.

212860704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 212860704 is about 14589.7465365235. The cubic root of 212860704 is about 597.0790475815.

The spelling of 212860704 in words is "two hundred twelve million, eight hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1176 1184 1223 1554 1568 1776 1813 2072 2352 2446 3108 3552 3626 3669 4144 4704 4892 5439 6216 7252 7338 8288 8561 9784 10878 12432 14504 14676 17122 19568 21756 24864 25683 29008 29352 34244 39136 43512 45251 51366 58016 58704 59927 68488 87024 90502 102732 117408 119854 135753 136976 174048 179781 181004 205464 239708 271506 273952 316757 359562 362008 410928 479416 543012 633514 719124 724016 821856 950271 958832 1086024 1267028 1438248 1448032 1900542 1917664 2172048 2217299 2534056 2876496 3801084 4344096 4434598 5068112 5752992 6651897 7602168 8869196 10136224 13303794 15204336 17738392 26607588 30408672 35476784 53215176 70953568 106430352 212860704