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1324455420 = 22351910111503
BaseRepresentation
bin100111011110001…
…1001010111111100
310102022012022021110
41032330121113330
510203030033140
6335231402020
744551454031
oct11674312774
93368168243
101324455420
1161a690a62
1230b683310
1318151b342
14c7c89388
157b421380
hex4ef195fc

1324455420 has 96 divisors (see below), whose sum is σ = 3942650880. Its totient is φ = 331257600.

The previous prime is 1324455413. The next prime is 1324455421. The reversal of 1324455420 is 245544231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324455421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109389 + ... + 120891.

It is an arithmetic number, because the mean of its divisors is an integer number (41069280).

Almost surely, 21324455420 is an apocalyptic number.

1324455420 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 1324455420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971325440).

1324455420 is an abundant number, since it is smaller than the sum of its proper divisors (2618195460).

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

1324455420 is a wasteful number, since it uses less digits than its factorization.

1324455420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1324455420 is about 36393.0682960368. The cubic root of 1324455420 is about 1098.1941222998.

Adding to 1324455420 its reverse (245544231), we get a palindrome (1569999651).

The spelling of 1324455420 in words is "one billion, three hundred twenty-four million, four hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 1010 1140 1212 1515 1919 2020 3030 3838 5757 6060 7676 9595 11503 11514 19190 23006 23028 28785 34509 38380 46012 57515 57570 69018 115030 115140 138036 172545 218557 230060 345090 437114 655671 690180 874228 1092785 1161803 1311342 2185570 2323606 2622684 3278355 3485409 4371140 4647212 5809015 6556710 6970818 11618030 13113420 13941636 17427045 22074257 23236060 34854090 44148514 66222771 69708180 88297028 110371285 132445542 220742570 264891084 331113855 441485140 662227710 1324455420