Search a number
-
+
106726676 = 22731122957
BaseRepresentation
bin1100101110010…
…00010100010100
321102211021110212
412113020110110
5204310223201
614331304552
72434106330
oct627102424
9242737425
10106726676
1155276371
122b8ab158
131915a4a4
14102627c0
159582abb
hex65c8514

106726676 has 24 divisors (see below), whose sum is σ = 220340736. Its totient is φ = 44264160.

The previous prime is 106726661. The next prime is 106726679. The reversal of 106726676 is 676627601.

It is a super-2 number, since 2×1067266762 = 22781166740017952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106726679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60611 + ... + 62346.

It is an arithmetic number, because the mean of its divisors is an integer number (9180864).

Almost surely, 2106726676 is an apocalyptic number.

It is an amenable number.

106726676 is an abundant number, since it is smaller than the sum of its proper divisors (113614060).

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

106726676 is a wasteful number, since it uses less digits than its factorization.

106726676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122999 (or 122997 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 106726676 is about 10330.8603707533. The cubic root of 106726676 is about 474.3413600907.

The spelling of 106726676 in words is "one hundred six million, seven hundred twenty-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 122957 245914 491828 860699 1721398 3442796 3811667 7623334 15246668 26681669 53363338 106726676