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108697728 = 2731716651
BaseRepresentation
bin1100111101010…
…01100010000000
321120112102020210
412132221202000
5210311311403
614441434120
72456625666
oct636514200
9246472223
10108697728
11563a2237
123049b940
131969a6a9
1410616c36
159821b03
hex67a9880

108697728 has 64 divisors (see below), whose sum is σ = 305730720. Its totient is φ = 34099200.

The previous prime is 108697723. The next prime is 108697739. The reversal of 108697728 is 827796801.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (108697723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798 + ... + 14853.

Almost surely, 2108697728 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 108697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152865360).

108697728 is an abundant number, since it is smaller than the sum of its proper divisors (197032992).

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

108697728 is a wasteful number, since it uses less digits than its factorization.

108697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16685 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 108697728 is about 10425.8202555003. The cubic root of 108697728 is about 477.2436466503.

The spelling of 108697728 in words is "one hundred eight million, six hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 16651 33302 49953 66604 99906 133208 199812 266416 283067 399624 532832 566134 799248 849201 1065664 1132268 1598496 1698402 2131328 2264536 3196992 3396804 4529072 6393984 6793608 9058144 13587216 18116288 27174432 36232576 54348864 108697728