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108995328 = 2833131213
BaseRepresentation
bin1100111111100…
…10001100000000
321121002112111000
412133302030000
5210400322303
614452052000
72462305431
oct637621400
9247075430
10108995328
1156585892
1230604000
1319772ca0
1410693488
15987eda3
hex67f2300

108995328 has 144 divisors (see below), whose sum is σ = 347398240. Its totient is φ = 33509376.

The previous prime is 108995323. The next prime is 108995333. The reversal of 108995328 is 823599801.

It is a happy number.

108995328 is a `hidden beast` number, since 108 + 9 + 9 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (108995323) and next prime (108995333).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (108995323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89250 + ... + 90462.

Almost surely, 2108995328 is an apocalyptic number.

108995328 is a gapful number since it is divisible by the number (18) 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 108995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173699120).

108995328 is an abundant number, since it is smaller than the sum of its proper divisors (238402912).

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

108995328 is a wasteful number, since it uses less digits than its factorization.

108995328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 108995328 is about 10440.0827582927. The cubic root of 108995328 is about 477.6787930910.

It can be divided in two parts, 108 and 995328, that multiplied together give a square (107495424 = 103682).

The spelling of 108995328 in words is "one hundred eight million, nine hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1213 1248 1404 1664 1728 1872 2304 2426 2496 2808 3328 3456 3639 3744 4852 4992 5616 6912 7278 7488 9704 9984 10917 11232 14556 14976 15769 19408 21834 22464 29112 29952 31538 32751 38816 43668 44928 47307 58224 63076 65502 77632 87336 89856 94614 116448 126152 131004 141921 155264 174672 189228 232896 252304 262008 283842 310528 349344 378456 425763 465792 504608 524016 567684 698688 756912 851526 931584 1009216 1048032 1135368 1397376 1513824 1703052 2018432 2096064 2270736 2794752 3027648 3406104 4036864 4192128 4541472 6055296 6812208 8384256 9082944 12110592 13624416 18165888 27248832 36331776 54497664 108995328