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1053131424 = 25310970119
BaseRepresentation
bin111110110001011…
…000001010100000
32201101122121201120
4332301120022200
54124100201144
6252300132240
735045320002
oct7661301240
92641577646
101053131424
114a0513254
12254837080
1313a2509b7
149dc1c372
15626c8e19
hex3ec582a0

1053131424 has 24 divisors (see below), whose sum is σ = 2764470240. Its totient is φ = 351043776.

The previous prime is 1053131413. The next prime is 1053131437. The reversal of 1053131424 is 4241313501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10531314242 = 2218171592432535552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1053131394 and 1053131403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5484964 + ... + 5485155.

It is an arithmetic number, because the mean of its divisors is an integer number (115186260).

Almost surely, 21053131424 is an apocalyptic number.

It is an amenable number.

1053131424 is an abundant number, since it is smaller than the sum of its proper divisors (1711338816).

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

1053131424 is a wasteful number, since it uses less digits than its factorization.

1053131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970132 (or 10970124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1053131424 is about 32451.9864415108. The cubic root of 1053131424 is about 1017.4057565540.

Adding to 1053131424 its reverse (4241313501), we get a palindrome (5294444925).

The spelling of 1053131424 in words is "one billion, fifty-three million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10970119 21940238 32910357 43880476 65820714 87760952 131641428 175521904 263282856 351043808 526565712 1053131424