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118312064 = 271397733
BaseRepresentation
bin1110000110101…
…00110010000000
322020121212122022
413003110302000
5220241441224
615423501012
72634431063
oct703246200
9266555568
10118312064
1160869672
1233757768
131b685850
14119da8da
15a5c065e
hex70d4c80

118312064 has 64 divisors (see below), whose sum is σ = 256797240. Its totient is φ = 53968896.

The previous prime is 118312063. The next prime is 118312087. The reversal of 118312064 is 460213811.

It can be written as a sum of positive squares in 4 ways, for example, as 108326464 + 9985600 = 10408^2 + 3160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (118312063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161042 + ... + 161774.

Almost surely, 2118312064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128398620).

118312064 is an abundant number, since it is smaller than the sum of its proper divisors (138485176).

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

118312064 is an equidigital number, since it uses as much as digits as its factorization.

118312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 118312064 is about 10877.1349168795. The cubic root of 118312064 is about 490.9188146887.

Adding to 118312064 its reverse (460213811), we get a palindrome (578525875).

The spelling of 118312064 in words is "one hundred eighteen million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 388 416 733 776 832 1261 1466 1552 1664 2522 2932 3104 5044 5864 6208 9529 10088 11728 12416 19058 20176 23456 38116 40352 46912 71101 76232 80704 93824 142202 152464 161408 284404 304928 568808 609856 924313 1137616 1219712 1848626 2275232 3697252 4550464 7394504 9100928 14789008 29578016 59156032 118312064