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104908120 = 23519223619
BaseRepresentation
bin1100100000011…
…00010101011000
321022101212212221
412100030111120
5203324024440
614224313424
72412463402
oct620142530
9238355787
10104908120
1154244029
122b172874
1318971815
14dd0bb72
159323d4a
hex640c558

104908120 has 64 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 39512448.

The previous prime is 104908103. The next prime is 104908121. The reversal of 104908120 is 21809401.

It is a happy number.

It is a super-2 number, since 2×1049081202 = 22011427283868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104908121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169171 + ... + 169789.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2104908120 is an apocalyptic number.

104908120 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 104908120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

104908120 is an abundant number, since it is smaller than the sum of its proper divisors (145075880).

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

104908120 is a wasteful number, since it uses less digits than its factorization.

104908120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 104908120 is about 10242.4664998232. The cubic root of 104908120 is about 471.6317509784.

The spelling of 104908120 in words is "one hundred four million, nine hundred eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 223 380 446 619 760 892 1115 1238 1784 2230 2476 3095 4237 4460 4952 6190 8474 8920 11761 12380 16948 21185 23522 24760 33896 42370 47044 58805 84740 94088 117610 138037 169480 235220 276074 470440 552148 690185 1104296 1380370 2622703 2760740 5245406 5521480 10490812 13113515 20981624 26227030 52454060 104908120