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110242680 = 23352359677
BaseRepresentation
bin1101001001000…
…10101101111000
321200102220112020
412210202231320
5211210231210
614534514440
72506022142
oct644425570
9250386466
10110242680
1157257a59
1230b05a20
1319abb972
14108d9c92
159a29770
hex6922b78

110242680 has 128 divisors (see below), whose sum is σ = 351475200. Its totient is φ = 27602432.

The previous prime is 110242673. The next prime is 110242697. The reversal of 110242680 is 86242011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110242680.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162502 + ... + 163178.

It is an arithmetic number, because the mean of its divisors is an integer number (2745900).

Almost surely, 2110242680 is an apocalyptic number.

110242680 is a gapful number since it is divisible by the number (10) 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 110242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175737600).

110242680 is an abundant number, since it is smaller than the sum of its proper divisors (241232520).

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

110242680 is a wasteful number, since it uses less digits than its factorization.

110242680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 110242680 is about 10499.6514227854. The cubic root of 110242680 is about 479.4940850138.

Adding to 110242680 its reverse (86242011), we get a palindrome (196484691).

The spelling of 110242680 in words is "one hundred ten million, two hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 59 60 69 92 115 118 120 138 177 184 230 236 276 295 345 354 460 472 552 590 677 690 708 885 920 1180 1354 1357 1380 1416 1770 2031 2360 2708 2714 2760 3385 3540 4062 4071 5416 5428 6770 6785 7080 8124 8142 10155 10856 13540 13570 15571 16248 16284 20310 20355 27080 27140 31142 32568 39943 40620 40710 46713 54280 62284 77855 79886 81240 81420 93426 119829 124568 155710 159772 162840 186852 199715 233565 239658 311420 319544 373704 399430 467130 479316 599145 622840 798860 918689 934260 958632 1198290 1597720 1837378 1868520 2396580 2756067 3674756 4593445 4793160 5512134 7349512 9186890 11024268 13780335 18373780 22048536 27560670 36747560 55121340 110242680