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117786240 = 27325112132
BaseRepresentation
bin1110000010101…
…00011010000000
322012122011100100
413001110122000
5220123124430
615404322400
72630111055
oct701243200
9265564310
10117786240
116053a600
1233543400
131b530400
141190102c
15a519960
hex7054680

117786240 has 432 divisors, whose sum is σ = 484102710. Its totient is φ = 26357760.

The previous prime is 117786203. The next prime is 117786241. The reversal of 117786240 is 42687711.

It can be written as a sum of positive squares in 3 ways, for example, as 50808384 + 66977856 = 7128^2 + 8184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117786195 and 117786204.

It is not an unprimeable number, because it can be changed into a prime (117786241) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9060474 + ... + 9060486.

Almost surely, 2117786240 is an apocalyptic number.

117786240 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 117786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242051355).

117786240 is an abundant number, since it is smaller than the sum of its proper divisors (366316470).

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

117786240 is a wasteful number, since it uses less digits than its factorization.

117786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117786240 is about 10852.9369296979. The cubic root of 117786240 is about 490.1904576845.

The spelling of 117786240 in words is "one hundred seventeen million, seven hundred eighty-six thousand, two hundred forty".