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256455060 = 223523832239
BaseRepresentation
bin11110100100100…
…11000110010100
3122212120021012120
433102103012110
51011123030220
641240415540
76232555251
oct1722230624
9585507176
10256455060
11121842534
1271a775b0
1341192874
14260ba428
15177aba40
hexf493194

256455060 has 96 divisors (see below), whose sum is σ = 758661120. Its totient is φ = 64597632.

The previous prime is 256455049. The next prime is 256455061. The reversal of 256455060 is 60554652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256455061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113421 + ... + 115659.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2256455060 is an apocalyptic number.

256455060 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 256455060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

256455060 is an abundant number, since it is smaller than the sum of its proper divisors (502206060).

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

256455060 is a wasteful number, since it uses less digits than its factorization.

256455060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 256455060 is about 16014.2143110425. The cubic root of 256455060 is about 635.3364286655.

The spelling of 256455060 in words is "two hundred fifty-six million, four hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2239 2490 3818 4478 4980 5727 6717 7636 8956 9545 11195 11454 13434 19090 22390 22908 26868 28635 33585 38180 44780 51497 57270 67170 102994 114540 134340 154491 185837 205988 257485 308982 371674 514970 557511 617964 743348 772455 929185 1029940 1115022 1544910 1858370 2230044 2787555 3089820 3716740 4274251 5575110 8548502 11150220 12822753 17097004 21371255 25645506 42742510 51291012 64113765 85485020 128227530 256455060