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117617016 = 233111773359
BaseRepresentation
bin1110000001010…
…11000101111000
322012022120012210
413000223011320
5220102221031
615400535120
72625504516
oct700530570
9265276183
10117617016
1160434450
12334814a0
131b4a138a
14118994b6
15a4d4746
hex702b178

117617016 has 128 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 32993280.

The previous prime is 117616957. The next prime is 117617029. The reversal of 117617016 is 610716711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327445 + ... + 327803.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2117617016 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 117617016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

117617016 is an abundant number, since it is smaller than the sum of its proper divisors (227637384).

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

117617016 is a wasteful number, since it uses less digits than its factorization.

117617016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 117617016 is about 10845.1378967720. The cubic root of 117617016 is about 489.9555922549.

The spelling of 117617016 in words is "one hundred seventeen million, six hundred seventeen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 73 88 102 132 136 146 187 204 219 264 292 359 374 408 438 561 584 718 748 803 876 1077 1122 1241 1436 1496 1606 1752 2154 2244 2409 2482 2872 3212 3723 3949 4308 4488 4818 4964 6103 6424 7446 7898 8616 9636 9928 11847 12206 13651 14892 15796 18309 19272 23694 24412 26207 27302 29784 31592 36618 40953 47388 48824 52414 54604 67133 73236 78621 81906 94776 104828 109208 134266 146472 157242 163812 201399 209656 268532 288277 314484 327624 402798 445519 537064 576554 628968 805596 864831 891038 1153108 1336557 1611192 1729662 1782076 2306216 2673114 3459324 3564152 4900709 5346228 6918648 9801418 10692456 14702127 19602836 29404254 39205672 58808508 117617016