Search a number
-
+
104052120 = 23353183337
BaseRepresentation
bin1100011001110…
…11010110011000
321020210101200020
412030323112120
5203114131440
614154110440
72402266644
oct614732630
9236711606
10104052120
1153809997
122aa1b420
1318732003
14db67c24
1592053d0
hex633b598

104052120 has 128 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 26449920.

The previous prime is 104052097. The next prime is 104052127. The reversal of 104052120 is 21250401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104052120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104052127) 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, 308592 + ... + 308928.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2104052120 is an apocalyptic number.

104052120 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 104052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

104052120 is an abundant number, since it is smaller than the sum of its proper divisors (223023720).

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

104052120 is a wasteful number, since it uses less digits than its factorization.

104052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 104052120 is about 10200.5941003453. The cubic root of 104052120 is about 470.3454831193.

The spelling of 104052120 in words is "one hundred four million, fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 83 93 120 124 155 166 186 248 249 310 332 337 372 415 465 498 620 664 674 744 830 930 996 1011 1240 1245 1348 1660 1685 1860 1992 2022 2490 2573 2696 3320 3370 3720 4044 4980 5055 5146 6740 7719 8088 9960 10110 10292 10447 12865 13480 15438 20220 20584 20894 25730 27971 30876 31341 38595 40440 41788 51460 52235 55942 61752 62682 77190 83576 83913 102920 104470 111884 125364 139855 154380 156705 167826 208940 223768 250728 279710 308760 313410 335652 417880 419565 559420 626820 671304 839130 867101 1118840 1253640 1678260 1734202 2601303 3356520 3468404 4335505 5202606 6936808 8671010 10405212 13006515 17342020 20810424 26013030 34684040 52026060 104052120