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1028180256 = 253591671087
BaseRepresentation
bin111101010010001…
…100100100100000
32122122200222011020
4331102030210200
54101203232011
6250005245440
734323250035
oct7522144440
92578628136
101028180256
11488421054
12248403880
13135025aac
149a7a538c
15603eb006
hex3d48c920

1028180256 has 96 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 334592256.

The previous prime is 1028180249. The next prime is 1028180261. The reversal of 1028180256 is 6520818201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945345 + ... + 946431.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 21028180256 is an apocalyptic number.

1028180256 is a gapful number since it is divisible by the number (16) 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 1028180256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1028180256 is an abundant number, since it is smaller than the sum of its proper divisors (1735513824).

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

1028180256 is a wasteful number, since it uses less digits than its factorization.

1028180256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1028180256 is about 32065.2499756356. The cubic root of 1028180256 is about 1009.3065383262.

Adding to 1028180256 its reverse (6520818201), we get a palindrome (7548998457).

The spelling of 1028180256 in words is "one billion, twenty-eight million, one hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 167 177 236 334 354 472 501 668 708 944 1002 1087 1336 1416 1888 2004 2174 2672 2832 3261 4008 4348 5344 5664 6522 8016 8696 9853 13044 16032 17392 19706 26088 29559 34784 39412 52176 59118 64133 78824 104352 118236 128266 157648 181529 192399 236472 256532 315296 363058 384798 472944 513064 544587 726116 769596 945888 1026128 1089174 1452232 1539192 2052256 2178348 2904464 3078384 4356696 5808928 6156768 8713392 10710211 17426784 21420422 32130633 42840844 64261266 85681688 128522532 171363376 257045064 342726752 514090128 1028180256