Search a number
-
+
117218160 = 24325712293
BaseRepresentation
bin1101111110010…
…01101101110000
322011120022002100
412333021231300
5220001440120
615344220400
72622223623
oct677115560
9264508070
10117218160
1160191814
123330a700
131b391977
14117d3dba
15a456490
hex6fc9b70

117218160 has 120 divisors (see below), whose sum is σ = 399376224. Its totient is φ = 30804480.

The previous prime is 117218147. The next prime is 117218197. The reversal of 117218160 is 61812711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49974 + ... + 52266.

Almost surely, 2117218160 is an apocalyptic number.

117218160 is a gapful number since it is divisible by the number (10) 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 117218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199688112).

117218160 is an abundant number, since it is smaller than the sum of its proper divisors (282158064).

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

117218160 is a wasteful number, since it uses less digits than its factorization.

117218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 117218160 is about 10826.7335794320. The cubic root of 117218160 is about 489.4011287018.

It can be divided in two parts, 11721 and 8160, that added together give a square (19881 = 1412).

The spelling of 117218160 in words is "one hundred seventeen million, two hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2293 2556 2840 3195 3408 4260 4586 5112 5680 6390 6879 8520 9172 10224 11465 12780 13758 17040 18344 20637 22930 25560 27516 34395 36688 41274 45860 51120 55032 68790 82548 91720 103185 110064 137580 162803 165096 183440 206370 275160 325606 330192 412740 488409 550320 651212 814015 825480 976818 1302424 1465227 1628030 1650960 1953636 2442045 2604848 2930454 3256060 3907272 4884090 5860908 6512120 7326135 7814544 9768180 11721816 13024240 14652270 19536360 23443632 29304540 39072720 58609080 117218160