Search a number
-
+
110828412 = 223841103
BaseRepresentation
bin1101001101100…
…01101101111100
321201112200000000
412212301231330
5211333002122
614555234300
72514011622
oct646615574
9251480000
10110828412
1157618032
1231148990
1319c65456
1410a0d512
159ae30ac
hex69b1b7c

110828412 has 108 divisors (see below), whose sum is σ = 300898416. Its totient is φ = 35691840.

The previous prime is 110828359. The next prime is 110828447. The reversal of 110828412 is 214828011.

It is a tau number, because it is divible by the number of its divisors (108).

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 35 ways as a sum of consecutive naturals, for example, 1075953 + ... + 1076055.

Almost surely, 2110828412 is an apocalyptic number.

110828412 is a gapful number since it is divisible by the number (12) 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 110828412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150449208).

110828412 is an abundant number, since it is smaller than the sum of its proper divisors (190070004).

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

110828412 is an equidigital number, since it uses as much as digits as its factorization.

110828412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 110828412 is about 10527.5073972902. The cubic root of 110828412 is about 480.3417878195.

The spelling of 110828412 in words is "one hundred ten million, eight hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 103 108 123 162 164 206 243 246 309 324 369 412 486 492 618 729 738 927 972 1107 1236 1458 1476 1854 2187 2214 2781 2916 3321 3708 4223 4374 4428 5562 6561 6642 8343 8446 8748 9963 11124 12669 13122 13284 16686 16892 19926 25029 25338 26244 29889 33372 38007 39852 50058 50676 59778 75087 76014 89667 100116 114021 119556 150174 152028 179334 225261 228042 269001 300348 342063 358668 450522 456084 538002 675783 684126 901044 1026189 1076004 1351566 1368252 2052378 2703132 3078567 4104756 6157134 9235701 12314268 18471402 27707103 36942804 55414206 110828412