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110103040 = 295411049
BaseRepresentation
bin1101001000000…
…00101000000000
321200011210222101
412210000220000
5211141244130
614531520144
72504601055
oct644005000
9250153871
10110103040
1157172053
1230a59054
1319a70238
14108a102c
1599ed1ca
hex6900a00

110103040 has 80 divisors (see below), whose sum is σ = 270685800. Its totient is φ = 42926080.

The previous prime is 110103023. The next prime is 110103061. The reversal of 110103040 is 40301011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 26050816 = 9168^2 + 5104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104436 + ... + 105484.

Almost surely, 2110103040 is an apocalyptic number.

110103040 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 110103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135342900).

110103040 is an abundant number, since it is smaller than the sum of its proper divisors (160582760).

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

110103040 is an equidigital number, since it uses as much as digits as its factorization.

110103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 110103040 is about 10492.9995711427. Note that the first 3 decimals coincide. The cubic root of 110103040 is about 479.2915474716.

Adding to 110103040 its reverse (40301011), we get a palindrome (150404051).

The spelling of 110103040 in words is "one hundred ten million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1049 1280 1312 1640 2098 2560 2624 3280 4196 5245 5248 6560 8392 10490 10496 13120 16784 20980 20992 26240 33568 41960 43009 52480 67136 83920 86018 104960 134272 167840 172036 215045 268544 335680 344072 430090 537088 671360 688144 860180 1342720 1376288 1720360 2685440 2752576 3440720 5505152 6881440 11010304 13762880 22020608 27525760 55051520 110103040