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1020131440 = 24537344639
BaseRepresentation
bin111100110011011…
…111100001110000
32122002120001020221
4330303133201300
54042123201230
6245120542424
734164655066
oct7463374160
92562501227
101020131440
11483923939
12245781a14
13133468393
14996ac036
155e85b27a
hex3ccdf870

1020131440 has 40 divisors (see below), whose sum is σ = 2435915520. Its totient is φ = 397022976.

The previous prime is 1020131429. The next prime is 1020131447. The reversal of 1020131440 is 441310201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020131447) 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 7 ways as a sum of consecutive naturals, for example, 169360 + ... + 175279.

It is an arithmetic number, because the mean of its divisors is an integer number (60897888).

Almost surely, 21020131440 is an apocalyptic number.

1020131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020131440 is an abundant number, since it is smaller than the sum of its proper divisors (1415784080).

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

1020131440 is a wasteful number, since it uses less digits than its factorization.

1020131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344689 (or 344683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1020131440 is about 31939.4965520748. The cubic root of 1020131440 is about 1006.6659464248.

Adding to 1020131440 its reverse (441310201), we get a palindrome (1461441641).

The spelling of 1020131440 in words is "one billion, twenty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 344639 689278 1378556 1723195 2757112 3446390 5514224 6892780 12751643 13785560 25503286 27571120 51006572 63758215 102013144 127516430 204026288 255032860 510065720 1020131440