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70356 = 223111341
BaseRepresentation
bin10001001011010100
310120111210
4101023110
54222411
61301420
7412056
oct211324
9116453
1070356
1148950
1234870
1326040
141b8d6
1515ca6
hex112d4

70356 has 48 divisors (see below), whose sum is σ = 197568. Its totient is φ = 19200.

The previous prime is 70351. The next prime is 70373. The reversal of 70356 is 65307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70356.

It is not an unprimeable number, because it can be changed into a prime (70351) by changing a digit.

70356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

270356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

70356 is an abundant number, since it is smaller than the sum of its proper divisors (127212).

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

70356 is a wasteful number, since it uses less digits than its factorization.

With its successor (70357) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (72).

70356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 70356 is about 265.2470546491. The cubic root of 70356 is about 41.2826004912.

The spelling of 70356 in words is "seventy thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 246 286 429 451 492 533 572 858 902 1066 1353 1599 1716 1804 2132 2706 3198 5412 5863 6396 11726 17589 23452 35178 70356