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110830680 = 2334579433
BaseRepresentation
bin1101001101100…
…10010001011000
321201112210010000
412212302101120
5211333040210
614555253000
72514021342
oct646622130
9251483100
10110830680
1157619804
123114a160
1319c664ac
1410a10292
159ae3ac0
hex69b2458

110830680 has 160 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 29113344.

The previous prime is 110830669. The next prime is 110830691. The reversal of 110830680 is 86038011.

It is an interprime number because it is at equal distance from previous prime (110830669) and next prime (110830691).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255744 + ... + 256176.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2110830680 is an apocalyptic number.

110830680 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 110830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

110830680 is an abundant number, since it is smaller than the sum of its proper divisors (267270120).

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

110830680 is a wasteful number, since it uses less digits than its factorization.

110830680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 110830680 is about 10527.6151145452. The cubic root of 110830680 is about 480.3450643793.

Adding to 110830680 its reverse (86038011), we get a palindrome (196868691).

It can be divided in two parts, 1 and 10830680, that added together give a square (10830681 = 32912).

The spelling of 110830680 in words is "one hundred ten million, eight hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 395 405 433 474 540 632 648 711 790 810 866 948 1080 1185 1299 1422 1580 1620 1732 1896 2133 2165 2370 2598 2844 3160 3240 3464 3555 3897 4266 4330 4740 5196 5688 6399 6495 7110 7794 8532 8660 9480 10392 10665 11691 12798 12990 14220 15588 17064 17320 19485 21330 23382 25596 25980 28440 31176 31995 34207 35073 38970 42660 46764 51192 51960 58455 63990 68414 70146 77940 85320 93528 102621 116910 127980 136828 140292 155880 171035 175365 205242 233820 255960 273656 280584 307863 342070 350730 410484 467640 513105 615726 684140 701460 820968 923589 1026210 1231452 1368280 1402920 1539315 1847178 2052420 2462904 2770767 3078630 3694356 4104840 4617945 5541534 6157260 7388712 9235890 11083068 12314520 13853835 18471780 22166136 27707670 36943560 55415340 110830680