Search a number
-
+
1004221320 = 23358639697
BaseRepresentation
bin111011110110110…
…011001110001000
32120222121201200020
4323312303032020
54024040040240
6243351540440
733612511644
oct7366631610
92528551606
101004221320
11475947383
1224038a720
131300876cb
1497529c24
155d2670d0
hex3bdb3388

1004221320 has 64 divisors (see below), whose sum is σ = 3016465920. Its totient is φ = 267454464.

The previous prime is 1004221319. The next prime is 1004221333. The reversal of 1004221320 is 231224001.

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 1004221320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98712 + ... + 108408.

It is an arithmetic number, because the mean of its divisors is an integer number (47132280).

Almost surely, 21004221320 is an apocalyptic number.

1004221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004221320 is an abundant number, since it is smaller than the sum of its proper divisors (2012244600).

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

1004221320 is a wasteful number, since it uses less digits than its factorization.

1004221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004221320 is about 31689.4512416987. The cubic root of 1004221320 is about 1001.4051313478.

Adding to 1004221320 its reverse (231224001), we get a palindrome (1235445321).

The spelling of 1004221320 in words is "one billion, four million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 863 1726 2589 3452 4315 5178 6904 8630 9697 10356 12945 17260 19394 20712 25890 29091 34520 38788 48485 51780 58182 77576 96970 103560 116364 145455 193940 232728 290910 387880 581820 1163640 8368511 16737022 25105533 33474044 41842555 50211066 66948088 83685110 100422132 125527665 167370220 200844264 251055330 334740440 502110660 1004221320