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1020443040 = 25325708641
BaseRepresentation
bin111100110100101…
…011100110100000
32122010010212200200
4330310223212200
54042213134130
6245131345200
734200423411
oct7464534640
92563125620
101020443040
11484016a61
122458b2200
13133547166
149974d808
155e8bd760
hex3cd2b9a0

1020443040 has 72 divisors (see below), whose sum is σ = 3482266788. Its totient is φ = 272117760.

The previous prime is 1020443033. The next prime is 1020443059. The reversal of 1020443040 is 403440201.

1020443040 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1018120464 + 2322576 = 31908^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352881 + ... + 355760.

Almost surely, 21020443040 is an apocalyptic number.

1020443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020443040 is an abundant number, since it is smaller than the sum of its proper divisors (2461823748).

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

1020443040 is a wasteful number, since it uses less digits than its factorization.

1020443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708662 (or 708651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1020443040 is about 31944.3741525797. The cubic root of 1020443040 is about 1006.7684316421.

Adding to 1020443040 its reverse (403440201), we get a palindrome (1423883241).

The spelling of 1020443040 in words is "one billion, twenty million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 708641 1417282 2125923 2834564 3543205 4251846 5669128 6377769 7086410 8503692 10629615 11338256 12755538 14172820 17007384 21259230 22676512 25511076 28345640 31888845 34014768 42518460 51022152 56691280 63777690 68029536 85036920 102044304 113382560 127555380 170073840 204088608 255110760 340147680 510221520 1020443040