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2014420032 = 263217205721
BaseRepresentation
bin111100000010001…
…1001110001000000
312012101111010210100
41320010121301000
513111142420112
6531520002400
7100630200462
oct17004316100
95171433710
102014420032
119440a6649
12482760400
13261455a21
14151770132
15bbcb02dc
hex78119c40

2014420032 has 84 divisors (see below), whose sum is σ = 6113646396. Its totient is φ = 631971840.

The previous prime is 2014420013. The next prime is 2014420039. The reversal of 2014420032 is 2300244102.

It can be written as a sum of positive squares in 2 ways, for example, as 1509788736 + 504631296 = 38856^2 + 22464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2014419987 and 2014420014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014420039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93069 + ... + 112652.

Almost surely, 22014420032 is an apocalyptic number.

It is an amenable number.

2014420032 is an abundant number, since it is smaller than the sum of its proper divisors (4099226364).

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

2014420032 is a wasteful number, since it uses less digits than its factorization.

2014420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205756 (or 205743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014420032 is about 44882.2908506239. The cubic root of 2014420032 is about 1262.9418185313.

Adding to 2014420032 its reverse (2300244102), we get a palindrome (4314664134).

The spelling of 2014420032 in words is "two billion, fourteen million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 205721 411442 617163 822884 1234326 1645768 1851489 2468652 3291536 3497257 3702978 4937304 6583072 6994514 7405956 9874608 10491771 13166144 13989028 14811912 19749216 20983542 27978056 29623824 31475313 39498432 41967084 55956112 59247648 62950626 83934168 111912224 118495296 125901252 167868336 223824448 251802504 335736672 503605008 671473344 1007210016 2014420032