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117293184 = 2737419
BaseRepresentation
bin1101111110111…
…00000010000000
322011201010000000
412333130002000
5220011340214
615350000000
72622655431
oct677340200
9264633000
10117293184
1160233118
1233346000
131b3b9b68
1411813488
15a46d809
hex6fdc080

117293184 has 128 divisors (see below), whose sum is σ = 351288000. Its totient is φ = 39004416.

The previous prime is 117293177. The next prime is 117293191. The reversal of 117293184 is 481392711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117293177) and next prime (117293191).

It is a tau number, because it is divible by the number of its divisors (128).

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, 279727 + ... + 280145.

Almost surely, 2117293184 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 117293184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175644000).

117293184 is an abundant number, since it is smaller than the sum of its proper divisors (233994816).

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

117293184 is an frugal number, since it uses more digits than its factorization.

117293184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 117293184 is about 10830.1977821275. The cubic root of 117293184 is about 489.5055181004.

The spelling of 117293184 in words is "one hundred seventeen million, two hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 419 432 486 576 648 729 838 864 972 1152 1257 1296 1458 1676 1728 1944 2187 2514 2592 2916 3352 3456 3771 3888 4374 5028 5184 5832 6704 7542 7776 8748 10056 10368 11313 11664 13408 15084 15552 17496 20112 22626 23328 26816 30168 31104 33939 34992 40224 45252 46656 53632 60336 67878 69984 80448 90504 93312 101817 120672 135756 139968 160896 181008 203634 241344 271512 279936 305451 362016 407268 482688 543024 610902 724032 814536 916353 1086048 1221804 1448064 1629072 1832706 2172096 2443608 3258144 3665412 4344192 4887216 6516288 7330824 9774432 13032576 14661648 19548864 29323296 39097728 58646592 117293184