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1020141464 = 231967109919
BaseRepresentation
bin111100110011100…
…001111110011000
32122002120120000012
4330303201332120
54042124011324
6245121101052
734165026236
oct7463417630
92562516005
101020141464
11483930421
12245787788
1313346cb04
14996b1956
155e85e20e
hex3cce1f98

1020141464 has 64 divisors (see below), whose sum is σ = 2064480000. Its totient is φ = 471132288.

The previous prime is 1020141443. The next prime is 1020141469. The reversal of 1020141464 is 4641410201.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020141469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109597 + ... + 1110515.

It is an arithmetic number, because the mean of its divisors is an integer number (32257500).

Almost surely, 21020141464 is an apocalyptic number.

It is an amenable number.

1020141464 is an abundant number, since it is smaller than the sum of its proper divisors (1044338536).

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

1020141464 is a wasteful number, since it uses less digits than its factorization.

1020141464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1020141464 is about 31939.6534733863. The cubic root of 1020141464 is about 1006.6692436426.

Adding to 1020141464 its reverse (4641410201), we get a palindrome (5661551665).

The spelling of 1020141464 in words is "one billion, twenty million, one hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 19 38 67 76 109 134 152 218 268 436 536 872 919 1273 1838 2071 2546 3676 4142 5092 7303 7352 8284 10184 14606 16568 17461 29212 34922 58424 61573 69844 100171 123146 138757 139688 200342 246292 277514 400684 492584 555028 801368 1110056 1169887 1903249 2339774 3806498 4679548 6711457 7612996 9359096 13422914 15225992 26845828 53691656 127517683 255035366 510070732 1020141464