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1320540450 = 2352171094751
BaseRepresentation
bin100111010110101…
…1101100100100010
310102000211101221120
41032231131210202
510201024243300
6335011433110
744503260105
oct11655354442
93360741846
101320540450
11618457649
1230a2b5796
1318077a3a8
14c754a73c
157adeb3a0
hex4eb5d922

1320540450 has 96 divisors (see below), whose sum is σ = 3500133120. Its totient is φ = 328320000.

The previous prime is 1320540409. The next prime is 1320540457. The reversal of 1320540450 is 540450231.

It is a self number, because there is not a number n which added to its sum of digits gives 1320540450.

It is not an unprimeable number, because it can be changed into a prime (1320540457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275575 + ... + 280325.

It is an arithmetic number, because the mean of its divisors is an integer number (36459720).

Almost surely, 21320540450 is an apocalyptic number.

1320540450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320540450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750066560).

1320540450 is an abundant number, since it is smaller than the sum of its proper divisors (2179592670).

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

1320540450 is a wasteful number, since it uses less digits than its factorization.

1320540450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1320540450 is about 36339.2411863539. The cubic root of 1320540450 is about 1097.1110003471. Note that the first 3 decimals are identical.

Adding to 1320540450 its reverse (540450231), we get a palindrome (1860990681).

The spelling of 1320540450 in words is "one billion, three hundred twenty million, five hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 109 150 170 218 255 327 425 510 545 654 850 1090 1275 1635 1853 2550 2725 3270 3706 4751 5450 5559 8175 9265 9502 11118 14253 16350 18530 23755 27795 28506 46325 47510 55590 71265 80767 92650 118775 138975 142530 161534 237550 242301 277950 356325 403835 484602 517859 712650 807670 1035718 1211505 1553577 2019175 2423010 2589295 3107154 4038350 5178590 6057525 7767885 8803603 12115050 12946475 15535770 17607206 25892950 26410809 38839425 44018015 52821618 77678850 88036030 132054045 220090075 264108090 440180150 660270225 1320540450