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213686496 = 2532741967
BaseRepresentation
bin11001011110010…
…01100011100000
3112220002101202200
430233021203200
5414200431441
633112013200
75203206462
oct1457114340
9486071680
10213686496
11aa690911
125b691200
1335369b1a
1420546132
1513b5e7b6
hexcbc98e0

213686496 has 36 divisors (see below), whose sum is σ = 607671792. Its totient is φ = 71228736.

The previous prime is 213686453. The next prime is 213686497. The reversal of 213686496 is 694686312.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213686497) 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 5 ways as a sum of consecutive naturals, for example, 370696 + ... + 371271.

It is an arithmetic number, because the mean of its divisors is an integer number (16879772).

Almost surely, 2213686496 is an apocalyptic number.

It is an amenable number.

213686496 is an abundant number, since it is smaller than the sum of its proper divisors (393985296).

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

213686496 is a wasteful number, since it uses less digits than its factorization.

213686496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741983 (or 741972 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 213686496 is about 14618.0195649069. The cubic root of 213686496 is about 597.8501729393.

The spelling of 213686496 in words is "two hundred thirteen million, six hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 741967 1483934 2225901 2967868 4451802 5935736 6677703 8903604 11871472 13355406 17807208 23742944 26710812 35614416 53421624 71228832 106843248 213686496