Search a number
-
+
1021092480 = 2734519697
BaseRepresentation
bin111100110111001…
…010001010000000
32122011100212120000
4330313022022000
54042344424410
6245153320000
734206100002
oct7467121200
92564325500
101021092480
1148441a991
12245b66000
13133713945
149987c372
155e99adc0
hex3cdca280

1021092480 has 160 divisors (see below), whose sum is σ = 3646690740. Its totient is φ = 272277504.

The previous prime is 1021092421. The next prime is 1021092487. The reversal of 1021092480 is 842901201.

It can be written as a sum of positive squares in 2 ways, for example, as 945193536 + 75898944 = 30744^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1021092487) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 41992 + ... + 61688.

Almost surely, 21021092480 is an apocalyptic number.

1021092480 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 1021092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823345370).

1021092480 is an abundant number, since it is smaller than the sum of its proper divisors (2625598260).

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

1021092480 is an equidigital number, since it uses as much as digits as its factorization.

1021092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19728 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1021092480 is about 31954.5377059347. The cubic root of 1021092480 is about 1006.9819653743.

Adding to 1021092480 its reverse (842901201), we get a palindrome (1863993681).

The spelling of 1021092480 in words is "one billion, twenty-one million, ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 19697 25920 39394 51840 59091 78788 98485 118182 157576 177273 196970 236364 295455 315152 354546 393940 472728 531819 590910 630304 709092 787880 886365 945456 1063638 1181820 1260608 1418184 1575760 1595457 1772730 1890912 2127276 2363640 2521216 2659095 2836368 3151520 3190914 3545460 3781824 4254552 4727280 5318190 5672736 6303040 6381828 7090920 7563648 7977285 8509104 9454560 10636380 11345472 12606080 12763656 14181840 15954570 17018208 18909120 21272760 22690944 25527312 28363680 31909140 34036416 37818240 42545520 51054624 56727360 63818280 68072832 85091040 102109248 113454720 127636560 170182080 204218496 255273120 340364160 510546240 1021092480