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110074720 = 2557293389
BaseRepresentation
bin1101000111110…
…01101101100000
321200010101010111
412203321231200
5211134342340
614531141104
72504422360
oct643715540
9250111114
10110074720
1157152848
1230a44794
1319a60392
14108949a0
1599e4aea
hex68f9b60

110074720 has 96 divisors (see below), whose sum is σ = 307540800. Its totient is φ = 36427776.

The previous prime is 110074703. The next prime is 110074739. The reversal of 110074720 is 27470011.

It is a junction number, because it is equal to n+sod(n) for n = 110074691 and 110074700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30786 + ... + 34174.

It is an arithmetic number, because the mean of its divisors is an integer number (3203550).

Almost surely, 2110074720 is an apocalyptic number.

110074720 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 110074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153770400).

110074720 is an abundant number, since it is smaller than the sum of its proper divisors (197466080).

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

110074720 is a wasteful number, since it uses less digits than its factorization.

110074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 110074720 is about 10491.6500132248. The cubic root of 110074720 is about 479.2504505121.

The spelling of 110074720 in words is "one hundred ten million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 3389 4060 4640 6496 6778 8120 13556 16240 16945 23723 27112 32480 33890 47446 54224 67780 94892 98281 108448 118615 135560 189784 196562 237230 271120 379568 393124 474460 491405 542240 687967 759136 786248 948920 982810 1375934 1572496 1897840 1965620 2751868 3144992 3439835 3795680 3931240 5503736 6879670 7862480 11007472 13759340 15724960 22014944 27518680 55037360 110074720