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117005148 = 22341327779
BaseRepresentation
bin1101111100101…
…01101101011100
322011011110220000
412332111231130
5214423131043
615335454300
72620345611
oct676255534
9264143800
10117005148
1160056777
1233227390
131b318a20
141177a508
15a4132d3
hex6f95b5c

117005148 has 60 divisors (see below), whose sum is σ = 329415240. Its totient is φ = 36000288.

The previous prime is 117005143. The next prime is 117005153. The reversal of 117005148 is 841500711.

It is an interprime number because it is at equal distance from previous prime (117005143) and next prime (117005153).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117005143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9678 + ... + 18101.

It is an arithmetic number, because the mean of its divisors is an integer number (5490254).

Almost surely, 2117005148 is an apocalyptic number.

117005148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117005148 is an abundant number, since it is smaller than the sum of its proper divisors (212410092).

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

117005148 is a wasteful number, since it uses less digits than its factorization.

117005148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27808 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 117005148 is about 10816.8917901586. The cubic root of 117005148 is about 489.1044979731.

Adding to 117005148 its reverse (841500711), we get a palindrome (958505859).

The spelling of 117005148 in words is "one hundred seventeen million, five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 27779 55558 83337 111116 166674 250011 333348 361127 500022 722254 750033 1000044 1083381 1444508 1500066 2166762 2250099 3000132 3250143 4333524 4500198 6500286 9000396 9750429 13000572 19500858 29251287 39001716 58502574 117005148