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117016000 = 265314627
BaseRepresentation
bin1101111100110…
…00010111000000
322011012000202221
412332120113000
5214424003000
615340020424
72620422343
oct676302700
9264160687
10117016000
1160063942
1233231714
131b32094a
141178045a
15a41661a
hex6f985c0

117016000 has 56 divisors (see below), whose sum is σ = 289809936. Its totient is φ = 46803200.

The previous prime is 117015971. The next prime is 117016001. The reversal of 117016000 is 610711.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 15313.

Almost surely, 2117016000 is an apocalyptic number.

117016000 is a gapful number since it is divisible by the number (10) 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 117016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144904968).

117016000 is an abundant number, since it is smaller than the sum of its proper divisors (172793936).

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

117016000 is an equidigital number, since it uses as much as digits as its factorization.

117016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 14634 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 117016000 is about 10817.3934013699. The cubic root of 117016000 is about 489.1196186694.

Adding to 117016000 its reverse (610711), we get a palindrome (117626711).

The spelling of 117016000 in words is "one hundred seventeen million, sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 14627 29254 58508 73135 117016 146270 234032 292540 365675 468064 585080 731350 936128 1170160 1462700 1828375 2340320 2925400 3656750 4680640 5850800 7313500 11701600 14627000 23403200 29254000 58508000 117016000