Search a number
-
+
256240530 = 233571310429
BaseRepresentation
bin11110100010111…
…10101110010010
3122212011100221000
433101132232102
51011044144110
641232042430
76231002640
oct1721365622
9585140830
10256240530
11121706337
1271993416
1341119020
1426062190
15177681c0
hexf45eb92

256240530 has 128 divisors (see below), whose sum is σ = 841075200. Its totient is φ = 54058752.

The previous prime is 256240519. The next prime is 256240547. The reversal of 256240530 is 35042652.

256240530 is a `hidden beast` number, since 2 + 5 + 624 + 0 + 5 + 30 = 666.

256240530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 256240494 and 256240503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19356 + ... + 29784.

It is an arithmetic number, because the mean of its divisors is an integer number (6570900).

Almost surely, 2256240530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256240530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420537600).

256240530 is an abundant number, since it is smaller than the sum of its proper divisors (584834670).

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

256240530 is a wasteful number, since it uses less digits than its factorization.

256240530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256240530 is about 16007.5147977442. The cubic root of 256240530 is about 635.1592218581.

The spelling of 256240530 in words is "two hundred fifty-six million, two hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 10429 12285 20858 24570 31287 52145 62574 73003 93861 104290 135577 146006 156435 187722 219009 271154 281583 312870 365015 406731 438018 469305 563166 657027 677885 730030 813462 938610 949039 1095045 1220193 1314054 1355770 1407915 1898078 1971081 2033655 2190090 2440386 2815830 2847117 3285135 3660579 3942162 4067310 4745195 5694234 6100965 6570270 7321158 8541351 9490390 9855405 12201930 14235585 17082702 18302895 19710810 25624053 28471170 36605790 42706755 51248106 85413510 128120265 256240530