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255164040 = 23335298147
BaseRepresentation
bin11110011010101…
…11111010001000
3122210010200021000
433031113322020
51010310222130
641153015000
76215600325
oct1715277210
9583120230
10255164040
1112104057a
1271554460
1340b30051
1425c61b4c
1517604260
hexf357e88

255164040 has 128 divisors (see below), whose sum is σ = 879984000. Its totient is φ = 65689344.

The previous prime is 255164009. The next prime is 255164059. The reversal of 255164040 is 40461552.

255164040 is a `hidden beast` number, since 255 + 1 + 6 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 255163995 and 255164013.

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, 27247 + ... + 35393.

It is an arithmetic number, because the mean of its divisors is an integer number (6874875).

Almost surely, 2255164040 is an apocalyptic number.

255164040 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 255164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439992000).

255164040 is an abundant number, since it is smaller than the sum of its proper divisors (624819960).

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

255164040 is a wasteful number, since it uses less digits than its factorization.

255164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 255164040 is about 15973.8548885358. The cubic root of 255164040 is about 634.2685193085.

The spelling of 255164040 in words is "two hundred fifty-five million, one hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 8147 10440 15660 16294 24441 31320 32588 40735 48882 65176 73323 81470 97764 122205 146646 162940 195528 219969 236263 244410 293292 325880 366615 439938 472526 488820 586584 708789 733230 879876 945052 977640 1099845 1181315 1417578 1466460 1759752 1890104 2126367 2199690 2362630 2835156 2932920 3543945 4252734 4399380 4725260 5670312 6379101 7087890 8505468 8798760 9450520 10631835 12758202 14175780 17010936 21263670 25516404 28351560 31895505 42527340 51032808 63791010 85054680 127582020 255164040