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118305072 = 24321276469
BaseRepresentation
bin1110000110100…
…11000100110000
322020121112001100
413003103010300
5220241230242
615423404400
72634401514
oct703230460
9266545040
10118305072
1160864396
1233753700
131b682602
14119d8144
15a5bd54c
hex70d3130

118305072 has 60 divisors (see below), whose sum is σ = 333748480. Its totient is φ = 39118464.

The previous prime is 118305071. The next prime is 118305101. The reversal of 118305072 is 270503811.

It is not an unprimeable number, because it can be changed into a prime (118305071) 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 11 ways as a sum of consecutive naturals, for example, 15054 + ... + 21522.

Almost surely, 2118305072 is an apocalyptic number.

118305072 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 118305072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166874240).

118305072 is an abundant number, since it is smaller than the sum of its proper divisors (215443408).

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

118305072 is a wasteful number, since it uses less digits than its factorization.

118305072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 118305072 is about 10876.8135039634. The cubic root of 118305072 is about 490.9091437336.

Adding to 118305072 its reverse (270503811), we get a palindrome (388808883).

The spelling of 118305072 in words is "one hundred eighteen million, three hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 6469 9144 12938 18288 19407 25876 38814 51752 58221 77628 103504 116442 155256 232884 310512 465768 821563 931536 1643126 2464689 3286252 4929378 6572504 7394067 9858756 13145008 14788134 19717512 29576268 39435024 59152536 118305072