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117224320 = 2751511213
BaseRepresentation
bin1101111110010…
…11001110000000
322011120121112111
412333023032000
5220002134240
615344305104
72622250603
oct677131600
9264517474
10117224320
1160196404
1233312194
131b394705
14117d633a
15a4581ea
hex6fcb380

117224320 has 64 divisors (see below), whose sum is σ = 282327840. Its totient is φ = 46540800.

The previous prime is 117224311. The next prime is 117224383. The reversal of 117224320 is 23422711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 117224291 and 117224300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96034 + ... + 97246.

Almost surely, 2117224320 is an apocalyptic number.

117224320 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 117224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141163920).

117224320 is an abundant number, since it is smaller than the sum of its proper divisors (165103520).

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

117224320 is a wasteful number, since it uses less digits than its factorization.

117224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 117224320 is about 10827.0180566950. The cubic root of 117224320 is about 489.4097014865.

The spelling of 117224320 in words is "one hundred seventeen million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 302 320 604 640 755 1208 1213 1510 2416 2426 3020 4832 4852 6040 6065 9664 9704 12080 12130 19328 19408 24160 24260 38816 48320 48520 77632 96640 97040 155264 183163 194080 366326 388160 732652 776320 915815 1465304 1831630 2930608 3663260 5861216 7326520 11722432 14653040 23444864 29306080 58612160 117224320