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118812816 = 24325091621
BaseRepresentation
bin1110001010011…
…11000010010000
322021120022112200
413011033002100
5220404002231
615442323200
72641615023
oct705170220
9267508480
10118812816
1161080911
1233959500
131b7cc755
1411acb1ba
15a66dbe6
hex714f090

118812816 has 60 divisors (see below), whose sum is σ = 333369660. Its totient is φ = 39502080.

The previous prime is 118812791. The next prime is 118812817. The reversal of 118812816 is 618218811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 24800400 = 9696^2 + 4980^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118812817) 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, 72486 + ... + 74106.

It is an arithmetic number, because the mean of its divisors is an integer number (5556161).

Almost surely, 2118812816 is an apocalyptic number.

118812816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

118812816 is an abundant number, since it is smaller than the sum of its proper divisors (214556844).

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

118812816 is a wasteful number, since it uses less digits than its factorization.

118812816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2135 counting only the distinct ones).

The product of its digits is 6144, while the sum is 36.

The square root of 118812816 is about 10900.1291735465. The cubic root of 118812816 is about 491.6104392019.

The spelling of 118812816 in words is "one hundred eighteen million, eight hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 509 1018 1527 1621 2036 3054 3242 4072 4581 4863 6108 6484 8144 9162 9726 12216 12968 14589 18324 19452 24432 25936 29178 36648 38904 58356 73296 77808 116712 233424 825089 1650178 2475267 3300356 4950534 6600712 7425801 9901068 13201424 14851602 19802136 29703204 39604272 59406408 118812816