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255243040 = 2551341273
BaseRepresentation
bin11110011011010…
…11001100100000
3122210021200121221
433031223030200
51010320234130
641154424424
76216346543
oct1715531440
9583250557
10255243040
11121094968
1271592114
1340b59cb0
1425c8285a
151761c87a
hexf36b320

255243040 has 144 divisors (see below), whose sum is σ = 674740584. Its totient is φ = 90685440.

The previous prime is 255243019. The next prime is 255243047. The reversal of 255243040 is 40342552.

255243040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 39388176 + 215854864 = 6276^2 + 14692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 255242996 and 255243014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255243047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3496444 + ... + 3496516.

Almost surely, 2255243040 is an apocalyptic number.

255243040 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 255243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337370292).

255243040 is an abundant number, since it is smaller than the sum of its proper divisors (419497544).

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

255243040 is a wasteful number, since it uses less digits than its factorization.

255243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 255243040 is about 15976.3274878803. The cubic root of 255243040 is about 634.3339700707. Note that the first 3 decimals are identical.

Adding to 255243040 its reverse (40342552), we get a palindrome (295585592).

The spelling of 255243040 in words is "two hundred fifty-five million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 73 80 82 104 130 146 160 164 205 208 260 292 328 365 410 416 520 533 584 656 730 820 949 1040 1066 1168 1312 1460 1640 1681 1898 2080 2132 2336 2665 2920 2993 3280 3362 3796 4264 4745 5330 5840 5986 6560 6724 7592 8405 8528 9490 10660 11680 11972 13448 14965 15184 16810 17056 18980 21320 21853 23944 26896 29930 30368 33620 37960 38909 42640 43706 47888 53792 59860 67240 75920 77818 85280 87412 95776 109265 119720 122713 134480 151840 155636 174824 194545 218530 239440 245426 268960 311272 349648 389090 437060 478880 490852 613565 622544 699296 778180 874120 981704 1227130 1245088 1556360 1595269 1748240 1963408 2454260 3112720 3190538 3496480 3926816 4908520 6225440 6381076 7976345 9817040 12762152 15952690 19634080 25524304 31905380 51048608 63810760 127621520 255243040