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117999456 = 2537915559
BaseRepresentation
bin1110000100010…
…00011101100000
322020000222211020
413002020131200
5220201440311
615413045440
72631656511
oct702103540
9266028736
10117999456
1160675813
1233626880
131b5a6483
1411958a08
15a55cc06
hex7088760

117999456 has 48 divisors (see below), whose sum is σ = 313689600. Its totient is φ = 38832768.

The previous prime is 117999419. The next prime is 117999457. The reversal of 117999456 is 654999711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 117999399 and 117999408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117999457) 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, 196 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (6535200).

Almost surely, 2117999456 is an apocalyptic number.

117999456 is a gapful number since it is divisible by the number (16) 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 117999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156844800).

117999456 is an abundant number, since it is smaller than the sum of its proper divisors (195690144).

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

117999456 is a wasteful number, since it uses less digits than its factorization.

117999456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15651 (or 15643 counting only the distinct ones).

The product of its digits is 612360, while the sum is 51.

The square root of 117999456 is about 10862.7554515417. The cubic root of 117999456 is about 490.4860594088.

The spelling of 117999456 in words is "one hundred seventeen million, nine hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 15559 31118 46677 62236 93354 124472 186708 248944 373416 497888 746832 1229161 1493664 2458322 3687483 4916644 7374966 9833288 14749932 19666576 29499864 39333152 58999728 117999456