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118939905 = 325721719167
BaseRepresentation
bin1110001011011…
…10000100000001
322021210202212200
413011232010001
5220422034110
615445143413
72642654400
oct705560401
9267722780
10118939905
1161158347
12339bab69
131b845556
1411b21637
15a6966c0
hex716e101

118939905 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 48190464.

The previous prime is 118939889. The next prime is 118939907. The reversal of 118939905 is 509939811.

It is not a de Polignac number, because 118939905 - 24 = 118939889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (118939907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 712132 + ... + 712298.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2118939905 is an apocalyptic number.

118939905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

118939905 is an abundant number, since it is smaller than the sum of its proper divisors (149954175).

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

118939905 is a wasteful number, since it uses less digits than its factorization.

118939905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 118939905 is about 10905.9573169896. The cubic root of 118939905 is about 491.7856616446.

The spelling of 118939905 in words is "one hundred eighteen million, nine hundred thirty-nine thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 49 51 57 63 85 95 105 119 133 147 153 167 171 245 255 285 315 323 357 399 441 501 595 665 735 765 833 835 855 931 969 1071 1169 1197 1503 1615 1785 1995 2205 2261 2499 2505 2793 2839 2907 3173 3507 4165 4655 4845 5355 5845 5985 6783 7497 7515 8183 8379 8517 9519 10521 11305 12495 13965 14195 14535 15827 15865 17535 19873 20349 22211 24549 25551 28557 33915 37485 40915 41895 42585 47481 47595 52605 53941 59619 66633 73647 79135 99365 101745 111055 122745 127755 139111 142443 142785 155477 161823 178857 199899 237405 269705 298095 333165 368235 377587 417333 466431 485469 695555 712215 777385 809115 894285 999495 1132761 1251999 1399293 1887935 2086665 2332155 2427345 2643109 3398283 5663805 6259995 6996465 7929327 13215545 16991415 23787981 39646635 118939905