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117018000 = 24335311197
BaseRepresentation
bin1101111100110…
…00110110010000
322011012010112000
412332120312100
5214424034000
615340034000
72620431231
oct676306620
9264163460
10117018000
11600653a0
1233232900
131b321828
1411781088
15a417000
hex6f98d90

117018000 has 320 divisors, whose sum is σ = 459613440. Its totient is φ = 28224000.

The previous prime is 117017911. The next prime is 117018029. The reversal of 117018000 is 810711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593902 + ... + 594098.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2117018000 is an apocalyptic number.

117018000 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 117018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

117018000 is an abundant number, since it is smaller than the sum of its proper divisors (342595440).

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

117018000 is a wasteful number, since it uses less digits than its factorization.

117018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 117018000 is about 10817.4858446868. The cubic root of 117018000 is about 489.1224052788.

Adding to 117018000 its reverse (810711), we get a palindrome (117828711).

It can be divided in two parts, 11701 and 8000, that added together give a triangular number (19701 = T198).

The spelling of 117018000 in words is "one hundred seventeen million, eighteen thousand".