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110014320 = 24351337953
BaseRepresentation
bin1101000111010…
…10111101110000
321200000022021110
412203222331300
5211130424240
614525553320
72504051313
oct643527560
9250008243
10110014320
1157111429
1230a15840
1319a3ba40
141087a97a
1599d1c80
hex68eaf70

110014320 has 160 divisors (see below), whose sum is σ = 377600832. Its totient is φ = 26320896.

The previous prime is 110014309. The next prime is 110014321. The reversal of 110014320 is 23410011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110014296 and 110014305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110014321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114964 + ... + 115916.

Almost surely, 2110014320 is an apocalyptic number.

110014320 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 110014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188800416).

110014320 is an abundant number, since it is smaller than the sum of its proper divisors (267586512).

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

110014320 is a wasteful number, since it uses less digits than its factorization.

110014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110014320 is about 10488.7711386988. The cubic root of 110014320 is about 479.1627766624.

Adding to 110014320 its reverse (23410011), we get a palindrome (133424331).

The spelling of 110014320 in words is "one hundred ten million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 953 962 1040 1110 1443 1480 1560 1776 1906 1924 2220 2405 2859 2886 2960 3120 3812 3848 4440 4765 4810 5718 5772 7215 7624 7696 8880 9530 9620 11436 11544 12389 14295 14430 15248 19060 19240 22872 23088 24778 28590 28860 35261 37167 38120 38480 45744 49556 57180 57720 61945 70522 74334 76240 99112 105783 114360 115440 123890 141044 148668 176305 185835 198224 211566 228720 247780 282088 297336 352610 371670 423132 458393 495560 528915 564176 594672 705220 743340 846264 916786 991120 1057830 1375179 1410440 1486680 1692528 1833572 2115660 2291965 2750358 2820880 2973360 3667144 4231320 4583930 5500716 6875895 7334288 8462640 9167860 11001432 13751790 18335720 22002864 27503580 36671440 55007160 110014320