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117904248 = 233471117139
BaseRepresentation
bin1110000011100…
…01001101111000
322012212011020000
413001301031320
5220140413443
615411033000
72631112110
oct701611570
9265764200
10117904248
1160610230
123359b760
131b572037
1411932040
15a53e8d3
hex7071378

117904248 has 320 divisors, whose sum is σ = 439084800. Its totient is φ = 28615680.

The previous prime is 117904229. The next prime is 117904249. The reversal of 117904248 is 842409711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117904249) 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 79 ways as a sum of consecutive naturals, for example, 848163 + ... + 848301.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2117904248 is an apocalyptic number.

117904248 is a gapful number since it is divisible by the number (18) 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 117904248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

117904248 is an abundant number, since it is smaller than the sum of its proper divisors (321180552).

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

117904248 is a wasteful number, since it uses less digits than its factorization.

117904248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 117904248 is about 10858.3722537036. The cubic root of 117904248 is about 490.3541074957.

The spelling of 117904248 in words is "one hundred seventeen million, nine hundred four thousand, two hundred forty-eight".