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110085240 = 23351953911
BaseRepresentation
bin1101000111111…
…00010001111000
321200010220120010
412203330101320
5211140211430
614531301520
72504465136
oct643742170
9250126503
10110085240
115715a741
1230a4a8a0
1319a650c5
1410898756
1599e7cb0
hex68fc478

110085240 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 27256320.

The previous prime is 110085229. The next prime is 110085281. The reversal of 110085240 is 42580011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120385 + ... + 121295.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2110085240 is an apocalyptic number.

110085240 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 110085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

110085240 is an abundant number, since it is smaller than the sum of its proper divisors (244500360).

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

110085240 is a wasteful number, since it uses less digits than its factorization.

110085240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 110085240 is about 10492.1513523205. The cubic root of 110085240 is about 479.2657175783.

The spelling of 110085240 in words is "one hundred ten million, eighty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 424 456 530 570 636 760 795 911 1007 1060 1140 1272 1590 1822 2014 2120 2280 2733 3021 3180 3644 4028 4555 5035 5466 6042 6360 7288 8056 9110 10070 10932 12084 13665 15105 17309 18220 20140 21864 24168 27330 30210 34618 36440 40280 48283 51927 54660 60420 69236 86545 96566 103854 109320 120840 138472 144849 173090 193132 207708 241415 259635 289698 346180 386264 415416 482830 519270 579396 692360 724245 917377 965660 1038540 1158792 1448490 1834754 1931320 2077080 2752131 2896980 3669508 4586885 5504262 5793960 7339016 9173770 11008524 13760655 18347540 22017048 27521310 36695080 55042620 110085240