[go: up one dir, main page]

Search a number
-
+
106925568 = 293671039
BaseRepresentation
bin1100101111110…
…00111000000000
321110012101022020
412113320320000
5204333104233
614335441440
72435565231
oct627707000
9243171266
10106925568
11553a1842
122b986280
13191c9b89
14102b5088
1595c19b3
hex65f8e00

106925568 has 80 divisors (see below), whose sum is σ = 289386240. Its totient is φ = 35076096.

The previous prime is 106925537. The next prime is 106925593. The reversal of 106925568 is 865529601.

It is a super-2 number, since 2×1069255682 = 22866154184245248, 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 7 ways as a sum of consecutive naturals, for example, 102393 + ... + 103431.

It is an arithmetic number, because the mean of its divisors is an integer number (3617328).

Almost surely, 2106925568 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 106925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693120).

106925568 is an abundant number, since it is smaller than the sum of its proper divisors (182460672).

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

106925568 is an equidigital number, since it uses as much as digits as its factorization.

106925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 106925568 is about 10340.4820003712. The cubic root of 106925568 is about 474.6358324175.

The spelling of 106925568 in words is "one hundred six million, nine hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1039 1072 1536 1608 2078 2144 3117 3216 4156 4288 6234 6432 8312 8576 12468 12864 16624 17152 24936 25728 33248 34304 49872 51456 66496 69613 99744 102912 132992 139226 199488 208839 265984 278452 398976 417678 531968 556904 797952 835356 1113808 1595904 1670712 2227616 3341424 4455232 6682848 8910464 13365696 17820928 26731392 35641856 53462784 106925568