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3130025024 = 26737318731
BaseRepresentation
bin1011101010010000…
…0110010001000000
322002010200202010202
42322210012101000
522402241300044
61234331144332
7140364526250
oct27244062100
98063622122
103130025024
1113668aa145
127342a50a8
133ab60b519
142199b1960
15134bc9c4e
hexba906440

3130025024 has 56 divisors (see below), whose sum is σ = 7117860288. Its totient is φ = 1337771520.

The previous prime is 3130025011. The next prime is 3130025029. The reversal of 3130025024 is 4205200313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 3130024987 and 3130025005.

It is not an unprimeable number, because it can be changed into a prime (3130025029) 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 7 ways as a sum of consecutive naturals, for example, 157739 + ... + 176469.

It is an arithmetic number, because the mean of its divisors is an integer number (127104648).

Almost surely, 23130025024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558930144).

3130025024 is an abundant number, since it is smaller than the sum of its proper divisors (3987835264).

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

3130025024 is a wasteful number, since it uses less digits than its factorization.

3130025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19113 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3130025024 is about 55946.6265649682. The cubic root of 3130025024 is about 1462.7920899445.

Adding to 3130025024 its reverse (4205200313), we get a palindrome (7335225337).

The spelling of 3130025024 in words is "three billion, one hundred thirty million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 373 448 746 1492 2611 2984 5222 5968 10444 11936 18731 20888 23872 37462 41776 74924 83552 131117 149848 167104 262234 299696 524468 599392 1048936 1198784 2097872 4195744 6986663 8391488 13973326 27946652 48906641 55893304 97813282 111786608 195626564 223573216 391253128 447146432 782506256 1565012512 3130025024