Search a number
-
+
108713232 = 243317113131
BaseRepresentation
bin1100111101011…
…01010100010000
321120120012112000
412132231110100
5210312310412
614442034000
72460022125
oct636552420
9246505460
10108713232
1156402951
12304a8900
13196a4774
141061c74c
1598264dc
hex67ad510

108713232 has 160 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 33546240.

The previous prime is 108713219. The next prime is 108713239. The reversal of 108713232 is 232317801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 108713196 and 108713205.

It is not an unprimeable number, because it can be changed into a prime (108713239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829807 + ... + 829937.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2108713232 is an apocalyptic number.

108713232 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 108713232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

108713232 is an abundant number, since it is smaller than the sum of its proper divisors (227158128).

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

108713232 is a wasteful number, since it uses less digits than its factorization.

108713232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108713232 is about 10426.5637676082. The cubic root of 108713232 is about 477.2663359738.

The spelling of 108713232 in words is "one hundred eight million, seven hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 113 131 136 144 153 204 216 226 262 272 306 339 393 408 432 452 459 524 612 678 786 816 904 918 1017 1048 1179 1224 1356 1572 1808 1836 1921 2034 2096 2227 2358 2448 2712 3051 3144 3537 3672 3842 4068 4454 4716 5424 5763 6102 6288 6681 7074 7344 7684 8136 8908 9432 11526 12204 13362 14148 14803 15368 16272 17289 17816 18864 20043 23052 24408 26724 28296 29606 30736 34578 35632 40086 44409 46104 48816 51867 53448 56592 59212 60129 69156 80172 88818 92208 103734 106896 118424 120258 133227 138312 160344 177636 207468 236848 240516 251651 266454 276624 320688 355272 399681 414936 481032 503302 532908 710544 754953 799362 829872 962064 1006604 1065816 1509906 1598724 2013208 2131632 2264859 3019812 3197448 4026416 4529718 6039624 6394896 6794577 9059436 12079248 13589154 18118872 27178308 36237744 54356616 108713232