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117742240 = 25571119503
BaseRepresentation
bin1110000010010…
…01101010100000
322012112220222201
413001021222200
5220120222430
615403342544
72626535560
oct701115240
9265486881
10117742240
116050a540
1233521a54
131b516385
14118ccda0
15a50b8ca
hex7049aa0

117742240 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 34698240.

The previous prime is 117742231. The next prime is 117742241. The reversal of 117742240 is 42247711.

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 = 117742199 and 117742208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117742241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233829 + ... + 234331.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2117742240 is an apocalyptic number.

117742240 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 117742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

117742240 is an abundant number, since it is smaller than the sum of its proper divisors (248040800).

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

117742240 is a wasteful number, since it uses less digits than its factorization.

117742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

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

The square root of 117742240 is about 10850.9096392883. The cubic root of 117742240 is about 490.1294118827.

Adding to 117742240 its reverse (42247711), we get a palindrome (159989951).

The spelling of 117742240 in words is "one hundred seventeen million, seven hundred forty-two thousand, two hundred forty".