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104665120 = 2557113827
BaseRepresentation
bin1100011110100…
…01000000100000
321021221112112221
412033101000200
5203243240440
614215200424
72410432060
oct617210040
9237845487
10104665120
11540984aa
122b076114
13188b8031
14dc873a0
1592c6d4a
hex63d1020

104665120 has 96 divisors (see below), whose sum is σ = 285441408. Its totient is φ = 35524608.

The previous prime is 104665117. The next prime is 104665133. The reversal of 104665120 is 21566401.

It is a super-2 number, since 2×1046651202 = 21909574689228800, which contains 22 as substring.

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, 126147 + ... + 126973.

It is an arithmetic number, because the mean of its divisors is an integer number (2973348).

Almost surely, 2104665120 is an apocalyptic number.

104665120 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 104665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142720704).

104665120 is an abundant number, since it is smaller than the sum of its proper divisors (180776288).

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

104665120 is a wasteful number, since it uses less digits than its factorization.

104665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 104665120 is about 10230.5972455180. The cubic root of 104665120 is about 471.2673205997.

It can be divided in two parts, 1046 and 65120, that added together give a palindrome (66166).

The spelling of 104665120 in words is "one hundred four million, six hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 827 904 1120 1130 1582 1654 1808 2260 3164 3308 3616 3955 4135 4520 5789 6328 6616 7910 8270 9040 11578 12656 13232 15820 16540 18080 23156 25312 26464 28945 31640 33080 46312 57890 63280 66160 92624 93451 115780 126560 132320 185248 186902 231560 373804 463120 467255 654157 747608 926240 934510 1308314 1495216 1869020 2616628 2990432 3270785 3738040 5233256 6541570 7476080 10466512 13083140 14952160 20933024 26166280 52332560 104665120