Search a number
-
+
1021000320 = 27325177257
BaseRepresentation
bin111100110110110…
…011101010000000
32122011012012010200
4330312303222000
54042334002240
6245151325200
734205234214
oct7466635200
92564165120
101021000320
1148436771a
12245b20800
131336b0a02
1499856944
155e97d930
hex3cdb3a80

1021000320 has 96 divisors (see below), whose sum is σ = 3525661620. Its totient is φ = 272265216.

The previous prime is 1021000319. The next prime is 1021000333. The reversal of 1021000320 is 230001201.

It is a happy number.

1021000320 is digitally balanced in base 2, because in such base 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 924646464 + 96353856 = 30408^2 + 9816^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 82869 + ... + 94388.

Almost surely, 21021000320 is an apocalyptic number.

1021000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021000320 is an abundant number, since it is smaller than the sum of its proper divisors (2504661300).

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

1021000320 is a wasteful number, since it uses less digits than its factorization.

1021000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177282 (or 177267 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1021000320 is about 31953.0956246809. The cubic root of 1021000320 is about 1006.9516689836.

Adding to 1021000320 its reverse (230001201), we get a palindrome (1251001521).

The spelling of 1021000320 in words is "one billion, twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 177257 354514 531771 709028 886285 1063542 1418056 1595313 1772570 2127084 2658855 2836112 3190626 3545140 4254168 5317710 5672224 6381252 7090280 7976565 8508336 10635420 11344448 12762504 14180560 15953130 17016672 21270840 22688896 25525008 28361120 31906260 34033344 42541680 51050016 56722240 63812520 68066688 85083360 102100032 113444480 127625040 170166720 204200064 255250080 340333440 510500160 1021000320