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118808820 = 223251350773
BaseRepresentation
bin1110001010011…
…10000011110100
322021120010001200
413011032003310
5220403340240
615442252500
72641600254
oct705160364
9267503050
10118808820
1161078909
1233957130
131b7ca9a0
1411ac9964
15a66c930
hex714e0f4

118808820 has 72 divisors (see below), whose sum is σ = 388116456. Its totient is φ = 29244672.

The previous prime is 118808819. The next prime is 118808821. The reversal of 118808820 is 28808811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (118808819) and next prime (118808821).

It can be written as a sum of positive squares in 4 ways, for example, as 8054244 + 110754576 = 2838^2 + 10524^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (118808821) 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 23 ways as a sum of consecutive naturals, for example, 23047 + ... + 27726.

Almost surely, 2118808820 is an apocalyptic number.

118808820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

118808820 is an abundant number, since it is smaller than the sum of its proper divisors (269307636).

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

118808820 is a wasteful number, since it uses less digits than its factorization.

118808820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50801 (or 50796 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 118808820 is about 10899.9458714252. The cubic root of 118808820 is about 491.6049277388.

Subtracting from 118808820 its reverse (28808811), we obtain a palindrome (90000009).

The spelling of 118808820 in words is "one hundred eighteen million, eight hundred eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 50773 101546 152319 203092 253865 304638 456957 507730 609276 660049 761595 913914 1015460 1320098 1523190 1827828 1980147 2284785 2640196 3046380 3300245 3960294 4569570 5940441 6600490 7920588 9139140 9900735 11880882 13200980 19801470 23761764 29702205 39602940 59404410 118808820