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118206828 = 223219434019
BaseRepresentation
bin1110000101110…
…11000101101100
322020102112021200
413002323011230
5220230104303
615421325500
72633512215
oct702730554
9266375250
10118206828
11607a75a3
1233706890
131b64998c
14119b040c
15a59e3a3
hex70bb16c

118206828 has 72 divisors (see below), whose sum is σ = 321921600. Its totient is φ = 36451296.

The previous prime is 118206811. The next prime is 118206911. The reversal of 118206828 is 828602811.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 118206792 and 118206801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27403 + ... + 31421.

Almost surely, 2118206828 is an apocalyptic number.

118206828 is a gapful number since it is divisible by the number (18) 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 118206828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160960800).

118206828 is an abundant number, since it is smaller than the sum of its proper divisors (203714772).

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

118206828 is a wasteful number, since it uses less digits than its factorization.

118206828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 118206828 is about 10872.2963535768. The cubic root of 118206828 is about 490.7732176529.

The spelling of 118206828 in words is "one hundred eighteen million, two hundred six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4019 4902 7353 8038 9804 12057 14706 16076 24114 29412 36171 48228 72342 76361 144684 152722 172817 229083 305444 345634 458166 518451 687249 691268 916332 1036902 1374498 1555353 2073804 2748996 3110706 3283523 6221412 6567046 9850569 13134092 19701138 29551707 39402276 59103414 118206828