Search a number
-
+
106610256 = 243482261
BaseRepresentation
bin1100101101010…
…11111001010000
321102121100210000
412112223321100
5204243012011
614325010000
72433113034
oct626537120
9242540700
10106610256
11551a6955
122b853900
13191194bc
14102321c4
15955d356
hex65abe50

106610256 has 50 divisors (see below), whose sum is σ = 308564762. Its totient is φ = 35536320.

The previous prime is 106610233. The next prime is 106610269. The reversal of 106610256 is 652016601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 37454400 = 8316^2 + 6120^2 .

It is a super-2 number, since 2×1066102562 = 22731493368771072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39835 + ... + 42426.

Almost surely, 2106610256 is an apocalyptic number.

106610256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106610256 is an abundant number, since it is smaller than the sum of its proper divisors (201954506).

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

106610256 is an equidigital number, since it uses as much as digits as its factorization.

106610256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82281 (or 82266 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106610256 is about 10325.2242590658. The cubic root of 106610256 is about 474.1688230555.

Adding to 106610256 its reverse (652016601), we get a palindrome (758626857).

The spelling of 106610256 in words is "one hundred six million, six hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 82261 164522 246783 329044 493566 658088 740349 987132 1316176 1480698 1974264 2221047 2961396 3948528 4442094 5922792 6663141 8884188 11845584 13326282 17768376 26652564 35536752 53305128 106610256