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110196828 = 22337712053
BaseRepresentation
bin1101001000101…
…11100001011100
321200100120122000
412210113201130
5211202244303
614533522300
72505441360
oct644274134
9250316560
10110196828
1157226565
1230aa3390
1319aa3b31
14108c72a0
159a1ada3
hex691785c

110196828 has 96 divisors (see below), whose sum is σ = 331269120. Its totient is φ = 31026240.

The previous prime is 110196803. The next prime is 110196829. The reversal of 110196828 is 828691011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110196792 and 110196801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110196829) 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 31 ways as a sum of consecutive naturals, for example, 52650 + ... + 54702.

It is an arithmetic number, because the mean of its divisors is an integer number (3450720).

Almost surely, 2110196828 is an apocalyptic number.

110196828 is a gapful number since it is divisible by the number (18) 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 110196828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165634560).

110196828 is an abundant number, since it is smaller than the sum of its proper divisors (221072292).

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

110196828 is a wasteful number, since it uses less digits than its factorization.

110196828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 110196828 is about 10497.4676946395. The cubic root of 110196828 is about 479.4275989318.

The spelling of 110196828 in words is "one hundred ten million, one hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1278 1491 1917 1988 2053 2556 2982 3834 4106 4473 5964 6159 7668 8212 8946 12318 13419 14371 17892 18477 24636 26838 28742 36954 43113 53676 55431 57484 73908 86226 110862 129339 145763 172452 221724 258678 291526 388017 437289 517356 583052 776034 874578 1020341 1311867 1552068 1749156 2040682 2623734 3061023 3935601 4081364 5247468 6122046 7871202 9183069 12244092 15742404 18366138 27549207 36732276 55098414 110196828