Search a number
-
+
1020441120 = 25352125919
BaseRepresentation
bin111100110100101…
…011001000100000
32122010010210001120
4330310223020200
54042213103440
6245131332240
734200414666
oct7464531040
92563123046
101020441120
11484015576
122458b1080
1313354631a
149974cc36
155e8bcdd0
hex3cd2b220

1020441120 has 48 divisors (see below), whose sum is σ = 3214391040. Its totient is φ = 272117504.

The previous prime is 1020441119. The next prime is 1020441139. The reversal of 1020441120 is 211440201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020441120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062480 + ... + 1063439.

It is an arithmetic number, because the mean of its divisors is an integer number (66966480).

Almost surely, 21020441120 is an apocalyptic number.

1020441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020441120 is an abundant number, since it is smaller than the sum of its proper divisors (2193949920).

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

1020441120 is a wasteful number, since it uses less digits than its factorization.

1020441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125937 (or 2125929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020441120 is about 31944.3441003255. The cubic root of 1020441120 is about 1006.7678002181.

Adding to 1020441120 its reverse (211440201), we get a palindrome (1231881321).

The spelling of 1020441120 in words is "one billion, twenty million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2125919 4251838 6377757 8503676 10629595 12755514 17007352 21259190 25511028 31888785 34014704 42518380 51022056 63777570 68029408 85036760 102044112 127555140 170073520 204088224 255110280 340147040 510220560 1020441120