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118820832 = 25313195011
BaseRepresentation
bin1110001010100…
…00111111100000
322021120201112120
413011100333200
5220404231312
615442424240
72641650264
oct705207740
9267521476
10118820832
1161086939
1233962080
131b8032b0
1411ad00a4
15a67128c
hex7150fe0

118820832 has 96 divisors (see below), whose sum is σ = 353646720. Its totient is φ = 34629120.

The previous prime is 118820777. The next prime is 118820833. The reversal of 118820832 is 238028811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 118820793 and 118820802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118820833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21207 + ... + 26217.

It is an arithmetic number, because the mean of its divisors is an integer number (3683820).

Almost surely, 2118820832 is an apocalyptic number.

118820832 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 118820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176823360).

118820832 is an abundant number, since it is smaller than the sum of its proper divisors (234825888).

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

118820832 is a wasteful number, since it uses less digits than its factorization.

118820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 118820832 is about 10900.4968694092. The cubic root of 118820832 is about 491.6214948573.

The spelling of 118820832 in words is "one hundred eighteen million, eight hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5011 5928 7904 10022 11856 15033 20044 23712 30066 40088 60132 65143 80176 95209 120264 130286 160352 190418 195429 240528 260572 285627 380836 390858 481056 521144 571254 761672 781716 1042288 1142508 1237717 1523344 1563432 2084576 2285016 2475434 3046688 3126864 3713151 4570032 4950868 6253728 7426302 9140064 9901736 14852604 19803472 29705208 39606944 59410416 118820832