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1024044420 = 2235711321577
BaseRepresentation
bin111101000010011…
…010110110000100
32122100220211212010
4331002122312010
54044123410140
6245340454220
734243143150
oct7502326604
92570824763
101024044420
11486056803
12246b4a370
13134208459
149a00a060
155ed80880
hex3d09ad84

1024044420 has 96 divisors (see below), whose sum is σ = 3306094848. Its totient is φ = 231985152.

The previous prime is 1024044407. The next prime is 1024044451. The reversal of 1024044420 is 244404201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36672 + ... + 58248.

It is an arithmetic number, because the mean of its divisors is an integer number (34438488).

Almost surely, 21024044420 is an apocalyptic number.

1024044420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653047424).

1024044420 is an abundant number, since it is smaller than the sum of its proper divisors (2282050428).

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

1024044420 is a wasteful number, since it uses less digits than its factorization.

1024044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21709 (or 21707 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1024044420 is about 32000.6940549732. The cubic root of 1024044420 is about 1007.9514141044.

Adding to 1024044420 its reverse (244404201), we get a palindrome (1268448621).

The spelling of 1024044420 in words is "one billion, twenty-four million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 21577 23730 43154 47460 64731 86308 107885 129462 151039 215770 258924 302078 323655 431540 453117 604156 647310 755195 906234 1294620 1510390 1812468 2265585 2438201 3020780 4531170 4876402 7314603 9062340 9752804 12191005 14629206 17067407 24382010 29258412 34134814 36573015 48764020 51202221 68269628 73146030 85337035 102404442 146292060 170674070 204808884 256011105 341348140 512022210 1024044420