Search a number
-
+
70822836 = 2235721487
BaseRepresentation
bin1000011100010…
…10101110110100
311221021011200000
410032022232310
5121112312321
611005551300
71516661400
oct416125664
9157234600
1070822836
1136a83277
121b875530
1311899206
149598100
15633e826
hex438abb4

70822836 has 108 divisors (see below), whose sum is σ = 216111168. Its totient is φ = 20221488.

The previous prime is 70822831. The next prime is 70822877. The reversal of 70822836 is 63822807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70822836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70822831) 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 35 ways as a sum of consecutive naturals, for example, 46885 + ... + 48371.

Almost surely, 270822836 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 70822836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

70822836 is an abundant number, since it is smaller than the sum of its proper divisors (145288332).

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

70822836 is a wasteful number, since it uses less digits than its factorization.

70822836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 70822836 is about 8415.6304576663. The cubic root of 70822836 is about 413.7370731290.

The spelling of 70822836 in words is "seventy million, eight hundred twenty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1487 1701 1764 2268 2646 2974 3402 3969 4461 5292 5948 6804 7938 8922 10409 11907 13383 15876 17844 20818 23814 26766 31227 40149 41636 47628 53532 62454 72863 80298 93681 120447 124908 145726 160596 187362 218589 240894 281043 291452 361341 374724 437178 481788 562086 655767 722682 843129 874356 1124172 1311534 1445364 1686258 1967301 2529387 2623068 3372516 3934602 5058774 5901903 7869204 10117548 11803806 17705709 23607612 35411418 70822836