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255156440 = 235711372239
BaseRepresentation
bin11110011010101…
…10000011011000
3122210010021211112
433031112003120
51010310001230
641152515452
76215536220
oct1715260330
9583107745
10255156440
111210358a0
127154bb88
1340b29756
1425c5d080
1517601d95
hexf3560d8

255156440 has 128 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 77345280.

The previous prime is 255156439. The next prime is 255156449. The reversal of 255156440 is 44651552.

255156440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255156397 and 255156406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255156449) 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, 112841 + ... + 115079.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2255156440 is an apocalyptic number.

255156440 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 255156440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

255156440 is an abundant number, since it is smaller than the sum of its proper divisors (480280360).

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

255156440 is a wasteful number, since it uses less digits than its factorization.

255156440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 255156440 is about 15973.6169980377. The cubic root of 255156440 is about 634.2622220671.

The spelling of 255156440 in words is "two hundred fifty-five million, one hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 296 308 370 385 407 440 518 616 740 770 814 1036 1295 1480 1540 1628 2035 2072 2239 2590 2849 3080 3256 4070 4478 5180 5698 8140 8956 10360 11195 11396 14245 15673 16280 17912 22390 22792 24629 28490 31346 44780 49258 56980 62692 78365 82843 89560 98516 113960 123145 125384 156730 165686 172403 197032 246290 313460 331372 344806 414215 492580 579901 626920 662744 689612 828430 862015 911273 985160 1159802 1379224 1656860 1724030 1822546 2319604 2899505 3313720 3448060 3645092 4556365 4639208 5799010 6378911 6896120 7290184 9112730 11598020 12757822 18225460 23196040 25515644 31894555 36450920 51031288 63789110 127578220 255156440