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117444384 = 2533181751
BaseRepresentation
bin1110000000000…
…00111100100000
322011222210102000
413000000330200
5220031210014
615353124000
72624155311
oct700007440
9264883360
10117444384
1160326782
12333b9600
131b440925
1411852608
15a49d509
hex7000f20

117444384 has 96 divisors (see below), whose sum is σ = 344897280. Its totient is φ = 38880000.

The previous prime is 117444373. The next prime is 117444407. The reversal of 117444384 is 483444711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156009 + ... + 156759.

It is an arithmetic number, because the mean of its divisors is an integer number (3592680).

Almost surely, 2117444384 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 117444384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172448640).

117444384 is an abundant number, since it is smaller than the sum of its proper divisors (227452896).

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

117444384 is a wasteful number, since it uses less digits than its factorization.

117444384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 117444384 is about 10837.1760159185. The cubic root of 117444384 is about 489.7157646287.

The spelling of 117444384 in words is "one hundred seventeen million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 724 751 864 1086 1448 1502 1629 2172 2253 2896 3004 3258 4344 4506 4887 5792 6008 6516 6759 8688 9012 9774 12016 13032 13518 17376 18024 19548 20277 24032 26064 27036 36048 39096 40554 52128 54072 72096 78192 81108 108144 135931 156384 162216 216288 271862 324432 407793 543724 648864 815586 1087448 1223379 1631172 2174896 2446758 3262344 3670137 4349792 4893516 6524688 7340274 9787032 13049376 14680548 19574064 29361096 39148128 58722192 117444384