Search a number
-
+
255305280 = 26351913997
BaseRepresentation
bin11110011011110…
…10011001000000
3122210101212000010
433031322121000
51010324232110
641200024520
76220026156
oct1715723100
9583355003
10255305280
111211276aa
1271602140
1340b7c419
1425c9b3d6
1517631020
hexf37a640

255305280 has 112 divisors (see below), whose sum is σ = 853318080. Its totient is φ = 64493568.

The previous prime is 255305273. The next prime is 255305287. The reversal of 255305280 is 82503552.

255305280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255305273) and next prime (255305287).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (255305287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11242 + ... + 25238.

Almost surely, 2255305280 is an apocalyptic number.

255305280 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 255305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426659040).

255305280 is an abundant number, since it is smaller than the sum of its proper divisors (598012800).

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

255305280 is a wasteful number, since it uses less digits than its factorization.

255305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 255305280 is about 15978.2752511027. The cubic root of 255305280 is about 634.3855258189.

The spelling of 255305280 in words is "two hundred fifty-five million, three hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 13997 18240 27994 41991 55988 69985 83982 111976 139970 167964 209955 223952 265943 279940 335928 419910 447904 531886 559880 671856 797829 839820 895808 1063772 1119760 1329715 1343712 1595658 1679640 2127544 2239520 2659430 2687424 3191316 3359280 3989145 4255088 4479040 5318860 6382632 6718560 7978290 8510176 10637720 12765264 13437120 15956580 17020352 21275440 25530528 31913160 42550880 51061056 63826320 85101760 127652640 255305280