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255123120 = 24357181839
BaseRepresentation
bin11110011010011…
…01111010110000
3122210001121010110
433031031322300
51010302414440
641152101320
76215340120
oct1715157260
9583047113
10255123120
1112101285a
1271534840
1340b17535
1425c50c80
15175e7080
hexf34deb0

255123120 has 160 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 57922560.

The previous prime is 255123119. The next prime is 255123161. The reversal of 255123120 is 21321552.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303661 + ... + 304499.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2255123120 is an apocalyptic number.

255123120 is a gapful number since it is divisible by the number (20) 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 255123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

255123120 is an abundant number, since it is smaller than the sum of its proper divisors (654818640).

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

255123120 is a wasteful number, since it uses less digits than its factorization.

255123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 255123120 is about 15972.5739941939. The cubic root of 255123120 is about 634.2346121595.

Adding to 255123120 its reverse (21321552), we get a palindrome (276444672).

The spelling of 255123120 in words is "two hundred fifty-five million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 181 210 240 280 336 362 420 543 560 724 839 840 905 1086 1267 1448 1678 1680 1810 2172 2517 2534 2715 2896 3356 3620 3801 4195 4344 5034 5068 5430 5873 6335 6712 7240 7602 8390 8688 10068 10136 10860 11746 12585 12670 13424 14480 15204 16780 17619 19005 20136 20272 21720 23492 25170 25340 29365 30408 33560 35238 38010 40272 43440 46984 50340 50680 58730 60816 67120 70476 76020 88095 93968 100680 101360 117460 140952 151859 152040 176190 201360 234920 281904 303718 304080 352380 455577 469840 607436 704760 759295 911154 1063013 1214872 1409520 1518590 1822308 2126026 2277885 2429744 3037180 3189039 3644616 4252052 4555770 5315065 6074360 6378078 7289232 8504104 9111540 10630130 12148720 12756156 15945195 17008208 18223080 21260260 25512312 31890390 36446160 42520520 51024624 63780780 85041040 127561560 255123120