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216046960 = 24511323899
BaseRepresentation
bin11001110000010…
…01110101110000
3120001112022201021
430320021311300
5420302000320
633234345224
75232240343
oct1470116560
9501468637
10216046960
11100a53308
126042b214
13359b534c
142099c45a
1513e78daa
hexce09d70

216046960 has 40 divisors (see below), whose sum is σ = 506775600. Its totient is φ = 85650432.

The previous prime is 216046913. The next prime is 216046969. The reversal of 216046960 is 69640612.

216046960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216046969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2910 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (12669390).

Almost surely, 2216046960 is an apocalyptic number.

216046960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216046960 is an abundant number, since it is smaller than the sum of its proper divisors (290728640).

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

216046960 is a wasteful number, since it uses less digits than its factorization.

216046960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025 (or 24019 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 216046960 is about 14698.5359815187. The cubic root of 216046960 is about 600.0434783308.

The spelling of 216046960 in words is "two hundred sixteen million, forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 23899 47798 95596 119495 191192 238990 382384 477980 955960 1911920 2700587 5401174 10802348 13502935 21604696 27005870 43209392 54011740 108023480 216046960