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108068256 = 2534173241
BaseRepresentation
bin1100111000011…
…11110110100000
321112100102210000
412130033312200
5210131141011
614420140000
72451364542
oct634176640
9245312700
10108068256
115600230a
1230237600
131950a01a
14104d1692
15974a356
hex670fda0

108068256 has 120 divisors (see below), whose sum is σ = 320989284. Its totient is φ = 35665920.

The previous prime is 108068249. The next prime is 108068267. The reversal of 108068256 is 652860801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93779856 + 14288400 = 9684^2 + 3780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108068256.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 448296 + ... + 448536.

Almost surely, 2108068256 is an apocalyptic number.

108068256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160494642).

108068256 is an abundant number, since it is smaller than the sum of its proper divisors (212921028).

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

108068256 is a wasteful number, since it uses less digits than its factorization.

108068256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 108068256 is about 10395.5882950413. The cubic root of 108068256 is about 476.3206182095.

The spelling of 108068256 in words is "one hundred eight million, sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 173 216 241 288 324 346 432 482 519 648 692 723 864 964 1038 1296 1384 1446 1557 1928 2076 2169 2592 2768 2892 3114 3856 4152 4338 4671 5536 5784 6228 6507 7712 8304 8676 9342 11568 12456 13014 14013 16608 17352 18684 19521 23136 24912 26028 28026 34704 37368 39042 41693 49824 52056 56052 69408 74736 78084 83386 104112 112104 125079 149472 156168 166772 208224 224208 250158 312336 333544 375237 448416 500316 624672 667088 750474 1000632 1125711 1334176 1500948 2001264 2251422 3001896 3377133 4002528 4502844 6003792 6754266 9005688 12007584 13508532 18011376 27017064 36022752 54034128 108068256