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1302055056 = 2432312972
BaseRepresentation
bin100110110011011…
…1100100010010000
310100202001020202100
41031212330202100
510131311230211
6333111320400
744160166611
oct11546744220
93322036670
101302055056
11608a81265
12304080100
131799a74a3
14c4cd7c08
1579499156
hex4d9bc890

1302055056 has 135 divisors (see below), whose sum is σ = 3804501753. Its totient is φ = 415687680.

The previous prime is 1302055039. The next prime is 1302055057. The reversal of 1302055056 is 6505502031.

The square root of 1302055056 is 36084.

It is a perfect power (a square), and thus also a powerful number.

1302055056 is a `hidden beast` number, since 130 + 20 + 5 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 584672400 + 717382656 = 24180^2 + 26784^2 .

It is not an unprimeable number, because it can be changed into a prime (1302055057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13423200 + ... + 13423296.

Almost surely, 21302055056 is an apocalyptic number.

1302055056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1302055056 is the 36084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302055056

1302055056 is an abundant number, since it is smaller than the sum of its proper divisors (2502446697).

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

1302055056 is an equidigital number, since it uses as much as digits as its factorization.

1302055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The cubic root of 1302055056 is about 1091.9676760548.

Adding to 1302055056 its reverse (6505502031), we get a palindrome (7807557087).

The spelling of 1302055056 in words is "one billion, three hundred two million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 97 124 144 186 194 248 279 291 372 388 496 558 582 744 776 873 961 1116 1164 1488 1552 1746 1922 2232 2328 2883 3007 3492 3844 4464 4656 5766 6014 6984 7688 8649 9021 9409 11532 12028 13968 15376 17298 18042 18818 23064 24056 27063 28227 34596 36084 37636 46128 48112 54126 56454 69192 72168 75272 84681 93217 108252 112908 138384 144336 150544 169362 186434 216504 225816 279651 291679 338724 372868 433008 451632 559302 583358 677448 745736 838953 875037 1118604 1166716 1354896 1491472 1677906 1750074 2237208 2333432 2625111 3355812 3500148 4474416 4666864 5250222 6711624 7000296 9042049 10500444 13423248 14000592 18084098 21000888 27126147 36168196 42001776 54252294 72336392 81378441 108504588 144672784 162756882 217009176 325513764 434018352 651027528 1302055056