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117306740 = 22529414933
BaseRepresentation
bin1101111110111…
…11010101110100
322011201210121002
412333133111310
5220012303430
615350142432
72623043105
oct677372564
9264653532
10117306740
1160242321
1233351a18
131b3c3095
14118183ac
15a472845
hex6fdf574

117306740 has 48 divisors (see below), whose sum is σ = 261107280. Its totient is φ = 44190720.

The previous prime is 117306713. The next prime is 117306743. The reversal of 117306740 is 47603711.

It can be written as a sum of positive squares in 8 ways, for example, as 21031396 + 96275344 = 4586^2 + 9812^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117306743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21314 + ... + 26246.

It is an arithmetic number, because the mean of its divisors is an integer number (5439735).

Almost surely, 2117306740 is an apocalyptic number.

117306740 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 117306740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130553640).

117306740 is an abundant number, since it is smaller than the sum of its proper divisors (143800540).

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

117306740 is a wasteful number, since it uses less digits than its factorization.

117306740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 117306740 is about 10830.8236067254. The cubic root of 117306740 is about 489.5243753519.

The spelling of 117306740 in words is "one hundred seventeen million, three hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 4933 5945 9866 11890 19732 23780 24665 49330 98660 143057 202253 286114 404506 572228 715285 809012 1011265 1430570 2022530 2861140 4045060 5865337 11730674 23461348 29326685 58653370 117306740