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108268542 = 23329471471
BaseRepresentation
bin1100111010000…
…00101111111110
321112201121112000
412131000233332
5210204043132
614424323130
72453160504
oct635005776
9245647460
10108268542
1156129838
12303134a6
131957a235
1410544674
15978987c
hex6740bfe

108268542 has 64 divisors (see below), whose sum is σ = 254361600. Its totient is φ = 34080480.

The previous prime is 108268499. The next prime is 108268543. The reversal of 108268542 is 245862801.

108268542 is a `hidden beast` number, since 108 + 2 + 6 + 8 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108268497 and 108268506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108268543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72867 + ... + 74337.

It is an arithmetic number, because the mean of its divisors is an integer number (3974400).

Almost surely, 2108268542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108268542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127180800).

108268542 is an abundant number, since it is smaller than the sum of its proper divisors (146093058).

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

108268542 is a wasteful number, since it uses less digits than its factorization.

108268542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108268542 is about 10405.2170568422. The cubic root of 108268542 is about 476.6146961667.

The spelling of 108268542 in words is "one hundred eight million, two hundred sixty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 87 94 141 174 261 282 423 522 783 846 1269 1363 1471 1566 2538 2726 2942 4089 4413 8178 8826 12267 13239 24534 26478 36801 39717 42659 69137 73602 79434 85318 127977 138274 207411 255954 383931 414822 622233 767862 1151793 1244466 1866699 2004973 2303586 3733398 4009946 6014919 12029838 18044757 36089514 54134271 108268542