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117930240 = 2832529353
BaseRepresentation
bin1110000011101…
…11100100000000
322012220110212200
413001313210000
5220142231430
615411353200
72631250641
oct701674400
9265813780
10117930240
116062880a
12335b2800
131b580b0c
141193b6c8
15a547460
hex7077900

117930240 has 216 divisors, whose sum is σ = 423291960. Its totient is φ = 30277632.

The previous prime is 117930233. The next prime is 117930271. The reversal of 117930240 is 42039711.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 108493056 = 3072^2 + 10416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333904 + ... + 334256.

It is an arithmetic number, because the mean of its divisors is an integer number (1959685).

Almost surely, 2117930240 is an apocalyptic number.

117930240 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 117930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211645980).

117930240 is an abundant number, since it is smaller than the sum of its proper divisors (305361720).

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

117930240 is a wasteful number, since it uses less digits than its factorization.

117930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 117930240 is about 10859.5690522230. The cubic root of 117930240 is about 490.3901377144.

Adding to 117930240 its reverse (42039711), we get a palindrome (159969951).

The spelling of 117930240 in words is "one hundred seventeen million, nine hundred thirty thousand, two hundred forty".