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117740224 = 267269977
BaseRepresentation
bin1110000010010…
…01001011000000
322012112211020001
413001021023000
5220120141344
615403325344
72626526650
oct701111300
9265484201
10117740224
1160508a78
1233520854
131b515494
14118cc360
15a50aed4
hex70492c0

117740224 has 56 divisors (see below), whose sum is σ = 268284960. Its totient is φ = 50221056.

The previous prime is 117740221. The next prime is 117740251. The reversal of 117740224 is 422047711.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 117740192 and 117740201.

It is not an unprimeable number, because it can be changed into a prime (117740221) 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, 120024 + ... + 121000.

Almost surely, 2117740224 is an apocalyptic number.

117740224 is a gapful number since it is divisible by the number (14) 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 117740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134142480).

117740224 is an abundant number, since it is smaller than the sum of its proper divisors (150544736).

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

117740224 is an equidigital number, since it uses as much as digits as its factorization.

117740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 117740224 is about 10850.8167434530. The cubic root of 117740224 is about 490.1266145107.

Adding to 117740224 its reverse (422047711), we get a palindrome (539787935).

The spelling of 117740224 in words is "one hundred seventeen million, seven hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 269 448 538 977 1076 1883 1954 2152 3766 3908 4304 6839 7532 7816 8608 13678 15064 15632 17216 27356 30128 31264 54712 60256 62528 109424 120512 218848 262813 437696 525626 1051252 1839691 2102504 3679382 4205008 7358764 8410016 14717528 16820032 29435056 58870112 117740224