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1020440240 = 24580915767
BaseRepresentation
bin111100110100101…
…010111010110000
32122010010201211222
4330310222322300
54042213041430
6245131324212
734200412301
oct7464527260
92563121758
101020440240
11484014946
122458b0668
13133545ac1
149974c7a8
155e8bc9e5
hex3cd2aeb0

1020440240 has 40 divisors (see below), whose sum is σ = 2375606880. Its totient is φ = 407645696.

The previous prime is 1020440221. The next prime is 1020440243. The reversal of 1020440240 is 420440201.

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

It is a super-2 number, since 2×10204402402 = 2082596566822515200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020440243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56837 + ... + 72603.

It is an arithmetic number, because the mean of its divisors is an integer number (59390172).

Almost surely, 21020440240 is an apocalyptic number.

1020440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020440240 is an abundant number, since it is smaller than the sum of its proper divisors (1355166640).

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

1020440240 is a wasteful number, since it uses less digits than its factorization.

1020440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1020440240 is about 31944.3303263662. The cubic root of 1020440240 is about 1006.7675108152.

Adding to 1020440240 its reverse (420440201), we get a palindrome (1440880441).

The spelling of 1020440240 in words is "one billion, twenty million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 3236 4045 6472 8090 12944 15767 16180 31534 32360 63068 64720 78835 126136 157670 252272 315340 630680 1261360 12755503 25511006 51022012 63777515 102044024 127555030 204088048 255110060 510220120 1020440240