Search a number
-
+
106027608 = 23323401479
BaseRepresentation
bin1100101000111…
…01101001011000
321101111202112110
412110131221120
5204120340413
614304312320
72425135251
oct624355130
9241452473
10106027608
1154939125
122b6126a0
1318c7423b
141011db28
1594958c3
hex651da58

106027608 has 64 divisors (see below), whose sum is σ = 277862400. Its totient is φ = 33651200.

The previous prime is 106027591. The next prime is 106027627. The reversal of 106027608 is 806720601.

It is a happy number.

It is a super-2 number, since 2×1060276082 = 22483707316403328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221113 + ... + 221591.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2106027608 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 106027608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931200).

106027608 is an abundant number, since it is smaller than the sum of its proper divisors (171834792).

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

106027608 is a wasteful number, since it uses less digits than its factorization.

106027608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106027608 is about 10296.9708167014. The cubic root of 106027608 is about 473.3034330558.

The spelling of 106027608 in words is "one hundred six million, twenty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 401 479 552 802 958 1203 1437 1604 1916 2406 2874 3208 3832 4812 5748 9223 9624 11017 11496 18446 22034 27669 33051 36892 44068 55338 66102 73784 88136 110676 132204 192079 221352 264408 384158 576237 768316 1152474 1536632 2304948 4417817 4609896 8835634 13253451 17671268 26506902 35342536 53013804 106027608