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255080016 = 2436191151
BaseRepresentation
bin11110011010000…
…11011001010000
3122202222102000000
433031003121100
51010300030031
641151130000
76215100342
oct1715033120
9582872000
10255080016
11120a93434
1271513900
1340b00a29
1425c3d292
15175d93e6
hexf343650

255080016 has 140 divisors (see below), whose sum is σ = 780664320. Its totient is φ = 80481600.

The previous prime is 255080011. The next prime is 255080017. The reversal of 255080016 is 610080552.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255080011) 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 27 ways as a sum of consecutive naturals, for example, 221041 + ... + 222191.

Almost surely, 2255080016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332160).

255080016 is an abundant number, since it is smaller than the sum of its proper divisors (525584304).

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

255080016 is a wasteful number, since it uses less digits than its factorization.

255080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 255080016 is about 15971.2246243048. The cubic root of 255080016 is about 634.1988913822.

The spelling of 255080016 in words is "two hundred fifty-five million, eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1151 1296 1368 1458 1539 1944 2052 2302 2736 2916 3078 3453 3888 4104 4604 4617 5832 6156 6906 8208 9208 9234 10359 11664 12312 13812 13851 18416 18468 20718 21869 24624 27624 27702 31077 36936 41436 43738 55248 55404 62154 65607 73872 82872 87476 93231 110808 124308 131214 165744 174952 186462 196821 221616 248616 262428 279693 349904 372924 393642 497232 524856 559386 590463 745848 787284 839079 1049712 1118772 1180926 1491696 1574568 1678158 1771389 2237544 2361852 3149136 3356316 3542778 4475088 4723704 5314167 6712632 7085556 9447408 10628334 13425264 14171112 15942501 21256668 28342224 31885002 42513336 63770004 85026672 127540008 255080016