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117723648 = 293710949
BaseRepresentation
bin1110000010001…
…01001000000000
322012111222111010
413001011020000
5220114124043
615403120520
72626430430
oct701051000
9265458433
10117723648
11604a7579
1233513140
131b50aa83
14118c62c0
15a506133
hex7045200

117723648 has 80 divisors (see below), whose sum is σ = 358459200. Its totient is φ = 33632256.

The previous prime is 117723643. The next prime is 117723679. The reversal of 117723648 is 846327711.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (117723643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5278 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (4480740).

Almost surely, 2117723648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179229600).

117723648 is an abundant number, since it is smaller than the sum of its proper divisors (240735552).

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

117723648 is an equidigital number, since it uses as much as digits as its factorization.

117723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10961 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 117723648 is about 10850.0529030968. The cubic root of 117723648 is about 490.1036126858.

The spelling of 117723648 in words is "one hundred seventeen million, seven hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 10949 21898 32847 43796 65694 76643 87592 131388 153286 175184 229929 262776 306572 350368 459858 525552 613144 700736 919716 1051104 1226288 1401472 1839432 2102208 2452576 2802944 3678864 4204416 4905152 5605888 7357728 8408832 9810304 14715456 16817664 19620608 29430912 39241216 58861824 117723648