Search a number
-
+
255206600 = 235211311373
BaseRepresentation
bin11110011011000…
…10010011001000
3122210012211122022
433031202103020
51010313102400
641153544012
76216135365
oct1715422310
9583184568
10255206600
1112106a550
1271575008
1340b4652c
1425c7346c
1517611b85
hexf3624c8

255206600 has 96 divisors (see below), whose sum is σ = 651119040. Its totient is φ = 92256000.

The previous prime is 255206587. The next prime is 255206603. The reversal of 255206600 is 6602552.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 255206600.

It is not an unprimeable number, because it can be changed into a prime (255206603) 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 23 ways as a sum of consecutive naturals, for example, 684014 + ... + 684386.

It is an arithmetic number, because the mean of its divisors is an integer number (6782490).

Almost surely, 2255206600 is an apocalyptic number.

255206600 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 255206600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325559520).

255206600 is an abundant number, since it is smaller than the sum of its proper divisors (395912440).

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

255206600 is a wasteful number, since it uses less digits than its factorization.

255206600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 255206600 is about 15975.1870098600. The cubic root of 255206600 is about 634.3037815493.

The spelling of 255206600 in words is "two hundred fifty-five million, two hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 311 373 440 550 622 746 1100 1244 1492 1555 1865 2200 2488 2984 3110 3421 3730 4103 6220 6842 7460 7775 8206 9325 12440 13684 14920 15550 16412 17105 18650 20515 27368 31100 32824 34210 37300 41030 62200 68420 74600 82060 85525 102575 116003 136840 164120 171050 205150 232006 342100 410300 464012 580015 684200 820600 928024 1160030 1276033 2320060 2552066 2900075 4640120 5104132 5800150 6380165 10208264 11600300 12760330 23200600 25520660 31900825 51041320 63801650 127603300 255206600