Search a number
-
+
106653596 = 22725310267
BaseRepresentation
bin1100101101101…
…10011110011100
321102200120020012
412112312132130
5204300403341
614325542352
72433353300
oct626663634
9242616205
10106653596
1155226475
122b8749b8
131913314a
1410243d00
15956b0eb
hex65b679c

106653596 has 36 divisors (see below), whose sum is σ = 221234328. Its totient is φ = 44841888.

The previous prime is 106653583. The next prime is 106653611. The reversal of 106653596 is 695356601.

It is a super-2 number, since 2×1066535962 = 22749979079462432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5255 + ... + 15521.

It is an arithmetic number, because the mean of its divisors is an integer number (6145398).

Almost surely, 2106653596 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 106653596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110617164).

106653596 is an abundant number, since it is smaller than the sum of its proper divisors (114580732).

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

106653596 is a wasteful number, since it uses less digits than its factorization.

106653596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 106653596 is about 10327.3227895714. The cubic root of 106653596 is about 474.2330685712.

The spelling of 106653596 in words is "one hundred six million, six hundred fifty-three thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10267 10388 20534 41068 71869 143738 287476 503083 544151 1006166 1088302 2012332 2176604 3809057 7618114 15236228 26663399 53326798 106653596