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117256752 = 243217192521
BaseRepresentation
bin1101111110100…
…11001000110000
322011122021000200
412333103020300
5220004204002
615345115200
72622444264
oct677231060
9264567020
10117256752
1160208808
1233328b00
131b3a63c2
14118040a4
15a462b1c
hex6fd3230

117256752 has 120 divisors (see below), whose sum is σ = 365891760. Its totient is φ = 34836480.

The previous prime is 117256747. The next prime is 117256753. The reversal of 117256752 is 257652711.

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

It is not an unprimeable number, because it can be changed into a prime (117256753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45252 + ... + 47772.

It is an arithmetic number, because the mean of its divisors is an integer number (3049098).

Almost surely, 2117256752 is an apocalyptic number.

117256752 is a gapful number since it is divisible by the number (12) 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 117256752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182945880).

117256752 is an abundant number, since it is smaller than the sum of its proper divisors (248635008).

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

117256752 is a wasteful number, since it uses less digits than its factorization.

117256752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2562 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 117256752 is about 10828.5156877570. The cubic root of 117256752 is about 489.4548316890.

The spelling of 117256752 in words is "one hundred seventeen million, two hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2521 2584 2736 2907 3876 5042 5168 5814 7563 7752 10084 11628 15126 15504 20168 22689 23256 30252 40336 42857 45378 46512 47899 60504 85714 90756 95798 121008 128571 143697 171428 181512 191596 257142 287394 342856 363024 383192 385713 431091 514284 574788 685712 766384 771426 814283 862182 1028568 1149576 1542852 1628566 1724364 2057136 2299152 2442849 3085704 3257132 3448728 4885698 6171408 6514264 6897456 7328547 9771396 13028528 14657094 19542792 29314188 39085584 58628376 117256752