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1420102656 = 21032722013
BaseRepresentation
bin101010010100101…
…0000110000000000
310122222011200121200
41110221100300000
510402021241111
6352525421200
750122446660
oct12451206000
93588150550
101420102656
1166967a165
1233770a800
1319829983b
14d68661a0
1584a16256
hex54a50c00

1420102656 has 132 divisors (see below), whose sum is σ = 4686516432. Its totient is φ = 405725184.

The previous prime is 1420102643. The next prime is 1420102679. The reversal of 1420102656 is 6562010241.

1420102656 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 0 + 2 + 656 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53506 + ... + 75518.

Almost surely, 21420102656 is an apocalyptic number.

1420102656 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 1420102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343258216).

1420102656 is an abundant number, since it is smaller than the sum of its proper divisors (3266413776).

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

1420102656 is a wasteful number, since it uses less digits than its factorization.

1420102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22046 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1420102656 is about 37684.2494419088. The cubic root of 1420102656 is about 1124.0179495029.

Adding to 1420102656 its reverse (6562010241), we get a palindrome (7982112897).

The spelling of 1420102656 in words is "one billion, four hundred twenty million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 22013 32256 44026 64512 66039 88052 132078 154091 176104 198117 264156 308182 352208 396234 462273 528312 616364 704416 792468 924546 1056624 1232728 1386819 1408832 1584936 1849092 2113248 2465456 2773638 2817664 3169872 3698184 4226496 4930912 5547276 5635328 6339744 7396368 8452992 9861824 11094552 11270656 12679488 14792736 16905984 19723648 22189104 22541312 25358976 29585472 33811968 39447296 44378208 50717952 59170944 67623936 78894592 88756416 101435904 118341888 157789184 177512832 202871808 236683776 355025664 473367552 710051328 1420102656