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108065430 = 232511176421
BaseRepresentation
bin1100111000011…
…11001010010110
321112100021220100
412130033022112
5210131043210
614420114530
72451353364
oct634171226
9245307810
10108065430
1156000180
1230235a46
1319508955
14104d0634
1597495c0
hex670f296

108065430 has 96 divisors (see below), whose sum is σ = 324593568. Its totient is φ = 24652800.

The previous prime is 108065429. The next prime is 108065449. The reversal of 108065430 is 34560801.

108065430 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 654 + 3 + 0 = 666.

It is a super-2 number, since 2×1080654302 = 23356274322169800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108065394 and 108065403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13620 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (3381183).

Almost surely, 2108065430 is an apocalyptic number.

108065430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108065430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162296784).

108065430 is an abundant number, since it is smaller than the sum of its proper divisors (216528138).

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

108065430 is a wasteful number, since it uses less digits than its factorization.

108065430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 108065430 is about 10395.4523711092. The cubic root of 108065430 is about 476.3164662231.

The spelling of 108065430 in words is "one hundred eight million, sixty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 6421 8415 12842 16830 19263 32105 38526 57789 64210 70631 96315 109157 115578 141262 192630 211893 218314 288945 327471 353155 423786 545785 577890 635679 654942 706310 982413 1059465 1091570 1200727 1271358 1637355 1964826 2118930 2401454 3178395 3274710 3602181 4912065 6003635 6356790 7204362 9824130 10806543 12007270 18010905 21613086 36021810 54032715 108065430