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117030016 = 278910273
BaseRepresentation
bin1101111100110…
…11110010000000
322011012202000001
412332123302000
5214424430031
615340205344
72620511245
oct676336200
9264182001
10117030016
1160073424
1233239854
131b32713c
14117855cc
15a41a861
hex6f9bc80

117030016 has 32 divisors (see below), whose sum is σ = 235788300. Its totient is φ = 57851904.

The previous prime is 117029999. The next prime is 117030041. The reversal of 117030016 is 610030711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 11022400 = 10296^2 + 3320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 117029975 and 117030002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6256 + ... + 16528.

Almost surely, 2117030016 is an apocalyptic number.

117030016 is a gapful number since it is divisible by the number (16) 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 117030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117894150).

117030016 is an abundant number, since it is smaller than the sum of its proper divisors (118758284).

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

117030016 is an equidigital number, since it uses as much as digits as its factorization.

117030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 117030016 is about 10818.0412275051. The cubic root of 117030016 is about 489.1391465598.

Adding to 117030016 its reverse (610030711), we get a palindrome (727060727).

The spelling of 117030016 in words is "one hundred seventeen million, thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 10273 11392 20546 41092 82184 164368 328736 657472 914297 1314944 1828594 3657188 7314376 14628752 29257504 58515008 117030016