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117062272 = 2717232339
BaseRepresentation
bin1101111101000…
…11101010000000
322011021101020201
412332203222000
5214431443042
615341014544
72621004265
oct676435200
9264241221
10117062272
1160095688
1233254454
131b338a22
141179326c
15a4251b7
hex6fa3a80

117062272 has 64 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 52670464.

The previous prime is 117062269. The next prime is 117062273. The reversal of 117062272 is 272260711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 117062272.

It is not an unprimeable number, because it can be changed into a prime (117062273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48879 + ... + 51217.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2117062272 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 117062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

117062272 is an abundant number, since it is smaller than the sum of its proper divisors (140712128).

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

117062272 is a wasteful number, since it uses less digits than its factorization.

117062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 117062272 is about 10819.5319676962. The cubic root of 117062272 is about 489.1840815361.

The spelling of 117062272 in words is "one hundred seventeen million, sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 2176 2339 2944 3128 4678 6256 9356 12512 18712 25024 37424 39763 50048 53797 74848 79526 107594 149696 159052 215188 299392 318104 430376 636208 860752 914549 1272416 1721504 1829098 2544832 3443008 3658196 5089664 6886016 7316392 14632784 29265568 58531136 117062272