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117413118 = 23317791619
BaseRepresentation
bin1101111111110…
…01010011111110
322011221012112000
412333321103332
5220024204433
615352323130
72623665204
oct677712376
9264835460
10117413118
1160305239
12333a34a6
131b42c624
1411845074
15a494113
hex6ff94fe

117413118 has 64 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 36346752.

The previous prime is 117413117. The next prime is 117413119. The reversal of 117413118 is 811314711.

It is an interprime number because it is at equal distance from previous prime (117413117) and next prime (117413119).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117413091 and 117413100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117413113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71713 + ... + 73331.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2117413118 is an apocalyptic number.

117413118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117413118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

117413118 is an abundant number, since it is smaller than the sum of its proper divisors (162522882).

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

117413118 is a wasteful number, since it uses less digits than its factorization.

117413118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 117413118 is about 10835.7333854244. The cubic root of 117413118 is about 489.6723034558.

Adding to 117413118 its reverse (811314711), we get a palindrome (928727829).

The spelling of 117413118 in words is "one hundred seventeen million, four hundred thirteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 1619 2133 2686 3238 4029 4266 4857 8058 9714 12087 14571 24174 27523 29142 36261 43713 55046 72522 82569 87426 127901 165138 247707 255802 383703 495414 743121 767406 1151109 1486242 2174317 2302218 3453327 4348634 6522951 6906654 13045902 19568853 39137706 58706559 117413118