Search a number
-
+
212683520 = 285723391
BaseRepresentation
bin11001010110101…
…00101100000000
3112211012102221102
430223110230000
5413421333040
633034313532
75161531400
oct1453245400
9484172842
10212683520
11aa066305
125b2888a8
13350a844a
1420364800
1513a12515
hexcad4b00

212683520 has 108 divisors (see below), whose sum is σ = 592792704. Its totient is φ = 72898560.

The previous prime is 212683517. The next prime is 212683531. The reversal of 212683520 is 25386212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61025 + ... + 64415.

Almost surely, 2212683520 is an apocalyptic number.

212683520 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 212683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296396352).

212683520 is an abundant number, since it is smaller than the sum of its proper divisors (380109184).

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

212683520 is an equidigital number, since it uses as much as digits as its factorization.

212683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 212683520 is about 14583.6730627095. The cubic root of 212683520 is about 596.9133332288.

The spelling of 212683520 in words is "two hundred twelve million, six hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3391 3920 4480 6272 6782 7840 8960 12544 13564 15680 16955 23737 27128 31360 33910 47474 54256 62720 67820 94948 108512 118685 135640 166159 189896 217024 237370 271280 332318 379792 434048 474740 542560 664636 759584 830795 868096 949480 1085120 1329272 1519168 1661590 1898960 2170240 2658544 3038336 3323180 3797920 4340480 5317088 6076672 6646360 7595840 10634176 13292720 15191680 21268352 26585440 30383360 42536704 53170880 106341760 212683520