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108004120 = 23572947283
BaseRepresentation
bin1100111000000…
…00001100011000
321112020011210121
412130000030120
5210122112440
614414523024
72451006550
oct634001430
9245204717
10108004120
1155a69104
1230206474
13194b6a83
14104b6160
15973634a
hex6700318

108004120 has 128 divisors (see below), whose sum is σ = 294451200. Its totient is φ = 34868736.

The previous prime is 108004051. The next prime is 108004123. The reversal of 108004120 is 21400801.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 108004094 and 108004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108004123) 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, 381499 + ... + 381781.

It is an arithmetic number, because the mean of its divisors is an integer number (2300400).

Almost surely, 2108004120 is an apocalyptic number.

108004120 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 108004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147225600).

108004120 is an abundant number, since it is smaller than the sum of its proper divisors (186447080).

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

108004120 is a wasteful number, since it uses less digits than its factorization.

108004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 108004120 is about 10392.5030671153. The cubic root of 108004120 is about 476.2263711545.

Adding to 108004120 its reverse (21400801), we get a palindrome (129404921).

The spelling of 108004120 in words is "one hundred eight million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 47 56 58 70 94 116 140 145 188 203 232 235 280 283 290 329 376 406 470 566 580 658 812 940 1015 1132 1160 1316 1363 1415 1624 1645 1880 1981 2030 2264 2632 2726 2830 3290 3962 4060 5452 5660 6580 6815 7924 8120 8207 9541 9905 10904 11320 13160 13301 13630 15848 16414 19082 19810 26602 27260 32828 38164 39620 41035 47705 53204 54520 57449 65656 66505 76328 79240 82070 93107 95410 106408 114898 133010 164140 186214 190820 229796 266020 287245 328280 372428 381640 385729 459592 465535 532040 574490 744856 771458 931070 1148980 1542916 1862140 1928645 2297960 2700103 3085832 3724280 3857290 5400206 7714580 10800412 13500515 15429160 21600824 27001030 54002060 108004120