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108074432 = 2619314761
BaseRepresentation
bin1100111000100…
…01010111000000
321112100202020202
412130101113000
5210131340212
614420224332
72451421544
oct634212700
9245322222
10108074432
1156006a14
123023b0a8
131950ca8b
14104d3a24
15974c0c2
hex67115c0

108074432 has 112 divisors (see below), whose sum is σ = 241889280. Its totient is φ = 47692800.

The previous prime is 108074429. The next prime is 108074441. The reversal of 108074432 is 234470801.

It is a junction number, because it is equal to n+sod(n) for n = 108074395 and 108074404.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1771682 + ... + 1771742.

Almost surely, 2108074432 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 108074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

108074432 is an abundant number, since it is smaller than the sum of its proper divisors (133814848).

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

108074432 is a wasteful number, since it uses less digits than its factorization.

108074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 108074432 is about 10395.8853398833. The cubic root of 108074432 is about 476.3296917963.

The spelling of 108074432 in words is "one hundred eight million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 47 61 62 64 76 94 122 124 152 188 244 248 304 376 488 496 589 608 752 893 976 992 1159 1178 1216 1457 1504 1786 1891 1952 1984 2318 2356 2867 2914 3008 3572 3782 3904 4636 4712 5734 5828 7144 7564 9272 9424 11468 11656 14288 15128 18544 18848 22936 23312 27683 28576 30256 35929 37088 37696 45872 46624 54473 55366 57152 60512 71858 74176 88877 91744 93248 108946 110732 121024 143716 177754 183488 217892 221464 287432 355508 435784 442928 574864 711016 871568 885856 1149728 1422032 1688663 1743136 1771712 2299456 2844064 3377326 3486272 5688128 6754652 13509304 27018608 54037216 108074432