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117141248 = 287131499
BaseRepresentation
bin1101111101101…
…10111100000000
322011102101120202
412332312330000
5214442004443
615342424332
72621453450
oct676667400
9264371522
10117141248
1160139a54
12332920a8
131b365963
14117b3d60
15a43d7b8
hex6fb6f00

117141248 has 72 divisors (see below), whose sum is σ = 269808000. Its totient is φ = 49720320.

The previous prime is 117141197. The next prime is 117141257. The reversal of 117141248 is 842141711.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117141248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234503 + ... + 235001.

Almost surely, 2117141248 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 117141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134904000).

117141248 is an abundant number, since it is smaller than the sum of its proper divisors (152666752).

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

117141248 is an equidigital number, since it uses as much as digits as its factorization.

117141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its digits is 1792, while the sum is 29.

The square root of 117141248 is about 10823.1810481023. The cubic root of 117141248 is about 489.2940660669.

Adding to 117141248 its reverse (842141711), we get a palindrome (959282959).

The spelling of 117141248 in words is "one hundred seventeen million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 448 499 524 896 917 998 1048 1792 1834 1996 2096 3493 3668 3992 4192 6986 7336 7984 8384 13972 14672 15968 16768 27944 29344 31936 33536 55888 58688 63872 65369 111776 117376 127744 130738 223552 234752 261476 447104 457583 522952 894208 915166 1045904 1830332 2091808 3660664 4183616 7321328 8367232 14642656 16734464 29285312 58570624 117141248