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1280230656 = 2836192693
BaseRepresentation
bin100110001001110…
…1100010100000000
310022012222110022020
41030103230110000
510110214340111
6331011441440
743503531615
oct11423542400
93265873266
101280230656
115a7725271
122b88b6280
13175305843
14c205650c
15775d7906
hex4c4ec500

1280230656 has 72 divisors (see below), whose sum is σ = 3414052320. Its totient is φ = 425895936.

The previous prime is 1280230649. The next prime is 1280230663. The reversal of 1280230656 is 6560320821.

It is an interprime number because it is at equal distance from previous prime (1280230649) and next prime (1280230663).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474046 + ... + 476738.

Almost surely, 21280230656 is an apocalyptic number.

1280230656 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 1280230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707026160).

1280230656 is an abundant number, since it is smaller than the sum of its proper divisors (2133821664).

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

1280230656 is an equidigital number, since it uses as much as digits as its factorization.

1280230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1280230656 is about 35780.3110103867. The cubic root of 1280230656 is about 1085.8322611282.

The spelling of 1280230656 in words is "one billion, two hundred eighty million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 619 768 1238 1857 2476 2693 3714 4952 5386 7428 8079 9904 10772 14856 16158 19808 21544 29712 32316 39616 43088 59424 64632 79232 86176 118848 129264 158464 172352 237696 258528 344704 475392 517056 689408 1034112 1666967 2068224 3333934 5000901 6667868 10001802 13335736 20003604 26671472 40007208 53342944 80014416 106685888 160028832 213371776 320057664 426743552 640115328 1280230656