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110424496 = 24713149509
BaseRepresentation
bin1101001010011…
…11000110110000
321200210010221011
412211033012300
5211232040441
614542440304
72510410210
oct645170660
9250703834
10110424496
1157371616
1230b93094
1319b53650
1410946240
159a63581
hex694f1b0

110424496 has 80 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 43305984.

The previous prime is 110424491. The next prime is 110424497. The reversal of 110424496 is 694424011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110424491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216690 + ... + 217198.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2110424496 is an apocalyptic number.

110424496 is a gapful number since it is divisible by the number (16) 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 110424496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

110424496 is an abundant number, since it is smaller than the sum of its proper divisors (155183504).

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

110424496 is a wasteful number, since it uses less digits than its factorization.

110424496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 110424496 is about 10508.3060480745. The cubic root of 110424496 is about 479.7575395846.

It can be divided in two parts, 1104 and 24496, that added together give a square (25600 = 1602).

The spelling of 110424496 in words is "one hundred ten million, four hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 149 182 208 298 364 509 596 728 1018 1043 1192 1456 1937 2036 2086 2384 3563 3874 4072 4172 6617 7126 7748 8144 8344 13234 13559 14252 15496 16688 26468 27118 28504 30992 46319 52936 54236 57008 75841 92638 105872 108472 151682 185276 216944 303364 370552 530887 606728 741104 985933 1061774 1213456 1971866 2123548 3943732 4247096 6901531 7887464 8494192 13803062 15774928 27606124 55212248 110424496