Search a number
-
+
106359162 = 237131311487
BaseRepresentation
bin1100101011011…
…10100101111010
321102010121100020
412111232211322
5204211443122
614315351310
72431016010
oct625564572
9242117306
10106359162
1155045238
122b752536
131905c120
14101a88b0
15950dc5c
hex656e97a

106359162 has 64 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 27817920.

The previous prime is 106359133. The next prime is 106359203. The reversal of 106359162 is 261953601.

It is a happy number.

It is a super-2 number, since 2×1063591622 = 22624542682684488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70783 + ... + 72269.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2106359162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106359162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

106359162 is an abundant number, since it is smaller than the sum of its proper divisors (157623942).

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

106359162 is a wasteful number, since it uses less digits than its factorization.

106359162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106359162 is about 10313.0578394577. The cubic root of 106359162 is about 473.7962680867.

The spelling of 106359162 in words is "one hundred six million, three hundred fifty-nine thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1487 1703 1834 2751 2974 3406 4461 5109 5502 8922 10218 10409 11921 19331 20818 23842 31227 35763 38662 57993 62454 71526 115986 135317 194797 270634 389594 405951 584391 811902 1168782 1363579 2532361 2727158 4090737 5064722 7597083 8181474 15194166 17726527 35453054 53179581 106359162