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117017088 = 293293771
BaseRepresentation
bin1101111100110…
…00101000000000
322011012002021020
412332120220000
5214424021323
615340025440
72620425456
oct676305000
9264162236
10117017088
1160064741
1233232280
131b3212a6
14117809d6
15a416ae3
hex6f98a00

117017088 has 160 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 36126720.

The previous prime is 117017083. The next prime is 117017129. The reversal of 117017088 is 880710711.

It is not an unprimeable number, because it can be changed into a prime (117017081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1648093 + ... + 1648163.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2117017088 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 117017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

117017088 is an abundant number, since it is smaller than the sum of its proper divisors (218854272).

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

117017088 is an equidigital number, since it uses as much as digits as its factorization.

117017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The square root of 117017088 is about 10817.4436906323. The cubic root of 117017088 is about 489.1211345889.

Adding to 117017088 its reverse (880710711), we get a palindrome (997727799).

The spelling of 117017088 in words is "one hundred seventeen million, seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 71 74 87 96 111 116 128 142 148 174 192 213 222 232 256 284 296 348 384 426 444 464 512 568 592 696 768 852 888 928 1073 1136 1184 1392 1536 1704 1776 1856 2059 2146 2272 2368 2627 2784 3219 3408 3552 3712 4118 4292 4544 4736 5254 5568 6177 6438 6816 7104 7424 7881 8236 8584 9088 9472 10508 11136 12354 12876 13632 14208 14848 15762 16472 17168 18176 18944 21016 22272 24708 25752 27264 28416 31524 32944 34336 36352 42032 44544 49416 51504 54528 56832 63048 65888 68672 76183 84064 98832 103008 109056 126096 131776 137344 152366 168128 197664 206016 228549 252192 263552 274688 304732 336256 395328 412032 457098 504384 527104 549376 609464 672512 790656 824064 914196 1008768 1054208 1218928 1345024 1581312 1648128 1828392 2017536 2437856 3162624 3656784 4035072 4875712 7313568 9751424 14627136 19502848 29254272 39005696 58508544 117017088