Search a number
-
+
212506320 = 24351368111
BaseRepresentation
bin11001010101010…
…01011011010000
3112210212102212110
430222221123100
5413400200240
633030425320
75160162645
oct1452513320
9483772773
10212506320
11a9a55164
125b202240
13350458b0
1420319dcc
15139c9c80
hexcaa96d0

212506320 has 80 divisors (see below), whose sum is σ = 709454592. Its totient is φ = 52308480.

The previous prime is 212506319. The next prime is 212506381. The reversal of 212506320 is 23605212.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 30936 + ... + 37175.

Almost surely, 2212506320 is an apocalyptic number.

212506320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212506320 is an abundant number, since it is smaller than the sum of its proper divisors (496948272).

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

212506320 is a wasteful number, since it uses less digits than its factorization.

212506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68140 (or 68134 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 212506320 is about 14577.5965097131. The cubic root of 212506320 is about 596.7475118374.

The spelling of 212506320 in words is "two hundred twelve million, five hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 68111 136222 204333 272444 340555 408666 544888 681110 817332 885443 1021665 1089776 1362220 1634664 1770886 2043330 2656329 2724440 3269328 3541772 4086660 4427215 5312658 5448880 7083544 8173320 8854430 10625316 13281645 14167088 16346640 17708860 21250632 26563290 35417720 42501264 53126580 70835440 106253160 212506320