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1320141024 = 25331527941
BaseRepresentation
bin100111010101111…
…1100000011100000
310102000002010001000
41032223330003200
510200424003044
6334555112000
744500004436
oct11653740340
93360063030
101320141024
11618204544
1230a142600
1318066a647
14c7484d56
157ad6cd69
hex4eafc0e0

1320141024 has 48 divisors (see below), whose sum is σ = 3850413840. Its totient is φ = 440046720.

The previous prime is 1320141023. The next prime is 1320141041. The reversal of 1320141024 is 4201410231.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 1320140988 and 1320141006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320141023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763107 + ... + 764834.

It is an arithmetic number, because the mean of its divisors is an integer number (80216955).

Almost surely, 21320141024 is an apocalyptic number.

It is an amenable number.

1320141024 is an abundant number, since it is smaller than the sum of its proper divisors (2530272816).

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

1320141024 is a wasteful number, since it uses less digits than its factorization.

1320141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527960 (or 1527946 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1320141024 is about 36333.7449762614. The cubic root of 1320141024 is about 1097.0003742146. Note that the first 3 decimals are identical.

Adding to 1320141024 its reverse (4201410231), we get a palindrome (5521551255).

The spelling of 1320141024 in words is "one billion, three hundred twenty million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1527941 3055882 4583823 6111764 9167646 12223528 13751469 18335292 24447056 27502938 36670584 41254407 48894112 55005876 73341168 82508814 110011752 146682336 165017628 220023504 330035256 440047008 660070512 1320141024