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117240272 = 2429376829
BaseRepresentation
bin1101111110011…
…11000111010000
322011121102102022
412333033013100
5220003142042
615344511012
72622345242
oct677170720
9264542368
10117240272
11601a7396
123331b468
131b39ba56
14117dc092
15a45ccd2
hex6fcf1d0

117240272 has 40 divisors (see below), whose sum is σ = 241372200. Its totient is φ = 55060992.

The previous prime is 117240271. The next prime is 117240283. The reversal of 117240272 is 272042711.

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 73891216 = 6584^2 + 8596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117240271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13754 + ... + 20582.

It is an arithmetic number, because the mean of its divisors is an integer number (6034305).

Almost surely, 2117240272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117240272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120686100).

117240272 is an abundant number, since it is smaller than the sum of its proper divisors (124131928).

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

117240272 is a wasteful number, since it uses less digits than its factorization.

117240272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 117240272 is about 10827.7547072327. The cubic root of 117240272 is about 489.4319002631.

Adding to 117240272 its reverse (272042711), we get a palindrome (389282983).

The spelling of 117240272 in words is "one hundred seventeen million, two hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 6829 8584 13658 17168 27316 54632 109264 198041 252673 396082 505346 792164 1010692 1584328 2021384 3168656 4042768 7327517 14655034 29310068 58620136 117240272