Search a number
-
+
108080256 = 273377607
BaseRepresentation
bin1100111000100…
…10110010000000
321112101001020110
412130102302000
5210132032011
614420311320
72451444534
oct634226200
9245331213
10108080256
1156010329
1230242540
131951261b
14104d5bc4
15974dba6
hex6712c80

108080256 has 64 divisors (see below), whose sum is σ = 294886080. Its totient is φ = 35048448.

The previous prime is 108080251. The next prime is 108080263. The reversal of 108080256 is 652080801.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (108080251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10405 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (4607595).

Almost surely, 2108080256 is an apocalyptic number.

108080256 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 108080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147443040).

108080256 is an abundant number, since it is smaller than the sum of its proper divisors (186805824).

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

108080256 is an equidigital number, since it uses as much as digits as its factorization.

108080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 108080256 is about 10396.1654469328. The cubic root of 108080256 is about 476.3382479190.

The spelling of 108080256 in words is "one hundred eight million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 7607 14208 15214 22821 30428 45642 60856 91284 121712 182568 243424 281459 365136 486848 562918 730272 844377 973696 1125836 1460544 1688754 2251672 2921088 3377508 4503344 6755016 9006688 13510032 18013376 27020064 36026752 54040128 108080256