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1320047456 = 257213312089
BaseRepresentation
bin100111010101110…
…0101001101100000
310101222220100200112
41032223211031200
510200413004311
6334553110452
744466134600
oct11653451540
93358810615
101320047456
11618150212
1230a0b8428
13180636b90
14c745cc00
157ad5028b
hex4eae5360

1320047456 has 144 divisors (see below), whose sum is σ = 3362325120. Its totient is φ = 505128960.

The previous prime is 1320047453. The next prime is 1320047459. The reversal of 1320047456 is 6547400231.

It is an interprime number because it is at equal distance from previous prime (1320047453) and next prime (1320047459).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320047453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630860 + ... + 632948.

It is an arithmetic number, because the mean of its divisors is an integer number (23349480).

Almost surely, 21320047456 is an apocalyptic number.

1320047456 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 1320047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681162560).

1320047456 is an abundant number, since it is smaller than the sum of its proper divisors (2042277664).

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

1320047456 is a wasteful number, since it uses less digits than its factorization.

1320047456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1320047456 is about 36332.4573350056. The cubic root of 1320047456 is about 1096.9744561360.

Adding to 1320047456 its reverse (6547400231), we get a palindrome (7867447687).

The spelling of 1320047456 in words is "one billion, three hundred twenty million, forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 91 98 104 112 124 182 196 208 217 224 248 364 392 403 416 434 496 637 728 784 806 868 992 1274 1456 1519 1568 1612 1736 2089 2548 2821 2912 3038 3224 3472 4178 5096 5642 6076 6448 6944 8356 10192 11284 12152 12896 14623 16712 19747 20384 22568 24304 27157 29246 33424 39494 45136 48608 54314 58492 64759 66848 78988 90272 102361 108628 116984 129518 157976 190099 204722 217256 233968 259036 315952 380198 409444 434512 453313 467936 518072 631904 760396 818888 841867 869024 906626 1036144 1330693 1520792 1637776 1683734 1813252 2072288 2661386 3041584 3173191 3275552 3367468 3626504 5322772 5893069 6083168 6346382 6734936 7253008 10645544 11786138 12692764 13469872 14506016 21291088 23572276 25385528 26939744 41251483 42582176 47144552 50771056 82502966 94289104 101542112 165005932 188578208 330011864 660023728 1320047456