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70668 = 223213151
BaseRepresentation
bin10001010000001100
310120221100
4101100030
54230133
61303100
7413013
oct212014
9116840
1070668
1149104
1234a90
1326220
141ba7a
1515e13
hex1140c

70668 has 36 divisors (see below), whose sum is σ = 193648. Its totient is φ = 21600.

The previous prime is 70667. The next prime is 70687. The reversal of 70668 is 86607.

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

It is not an unprimeable number, because it can be changed into a prime (70663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393 + ... + 543.

270668 is an apocalyptic number.

70668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96824).

70668 is an abundant number, since it is smaller than the sum of its proper divisors (122980).

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

70668 is a wasteful number, since it uses less digits than its factorization.

70668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70668 is about 265.8345350025. The cubic root of 70668 is about 41.3435343073.

The spelling of 70668 in words is "seventy thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 604 906 1359 1812 1963 2718 3926 5436 5889 7852 11778 17667 23556 35334 70668