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213990976 = 2615532153
BaseRepresentation
bin11001100000100…
…11111001000000
3112220122212102201
430300103321000
5414240202401
633122322544
75205615253
oct1460237100
9486585381
10213990976
11aa879651
125b7b9454
13354455a4
14205c509a
1513bbeb01
hexcc13e40

213990976 has 28 divisors (see below), whose sum is σ = 425109132. Its totient is φ = 106876928.

The previous prime is 213990967. The next prime is 213990979. The reversal of 213990976 is 679099312.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 195328576 = 4320^2 + 13976^2 .

It is a super-3 number, since 3×2139909763 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213990979) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 98316 + ... + 100468.

It is an arithmetic number, because the mean of its divisors is an integer number (15182469).

Almost surely, 2213990976 is an apocalyptic number.

It is an amenable number.

213990976 is a deficient number, since it is larger than the sum of its proper divisors (211118156).

213990976 is a wasteful number, since it uses less digits than its factorization.

213990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 213990976 is about 14628.4304011059. The cubic root of 213990976 is about 598.1339953196.

The spelling of 213990976 in words is "two hundred thirteen million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 1553 2153 3106 4306 6212 8612 12424 17224 24848 34448 49696 68896 99392 137792 3343609 6687218 13374436 26748872 53497744 106995488 213990976