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78213 = 329231
BaseRepresentation
bin10011000110000101
310222021210
4103012011
510000323
61402033
7444012
oct230605
9128253
1078213
1153843
1239319
13297a5
1420709
1518293
hex13185

78213 has 12 divisors (see below), whose sum is σ = 111488. Its totient is φ = 48720.

The previous prime is 78203. The next prime is 78229. The reversal of 78213 is 31287.

It is a de Polignac number, because none of the positive numbers 2k-78213 is a prime.

It is a super-2 number, since 2×782132 = 12234546738, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2508 + ... + 2538.

278213 is an apocalyptic number.

It is an amenable number.

78213 is a deficient number, since it is larger than the sum of its proper divisors (33275).

78213 is a wasteful number, since it uses less digits than its factorization.

78213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 78213 is about 279.6658720688. The cubic root of 78213 is about 42.7654436183.

Subtracting from 78213 its product of digits (336), we obtain a palindrome (77877).

The spelling of 78213 in words is "seventy-eight thousand, two hundred thirteen".

Divisors: 1 3 29 31 87 93 841 899 2523 2697 26071 78213