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1320240432 = 243719320359
BaseRepresentation
bin100111010110001…
…0100010100110000
310102000021011101210
41032230110110300
510200440143212
6335001200120
744500600320
oct11654242460
93360234353
101320240432
116182721a5
1230a190040
131806a3974
14c74ad280
157ad8c53c
hex4eb14530

1320240432 has 80 divisors (see below), whose sum is σ = 3918241280. Its totient is φ = 375238656.

The previous prime is 1320240421. The next prime is 1320240443. The reversal of 1320240432 is 2340420231.

It is an interprime number because it is at equal distance from previous prime (1320240421) and next prime (1320240443).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1320240399 and 1320240408.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54669 + ... + 75027.

It is an arithmetic number, because the mean of its divisors is an integer number (48978016).

Almost surely, 21320240432 is an apocalyptic number.

1320240432 is a gapful number since it is divisible by the number (12) 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 1320240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959120640).

1320240432 is an abundant number, since it is smaller than the sum of its proper divisors (2598000848).

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

1320240432 is a wasteful number, since it uses less digits than its factorization.

1320240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20570 (or 20564 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1320240432 is about 36335.1129350109. The cubic root of 1320240432 is about 1097.0279086153.

Adding to 1320240432 its reverse (2340420231), we get a palindrome (3660660663).

The spelling of 1320240432 in words is "one billion, three hundred twenty million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 2316 2702 3088 4053 4632 5404 8106 9264 10808 16212 20359 21616 32424 40718 61077 64848 81436 122154 142513 162872 244308 285026 325744 427539 488616 570052 855078 977232 1140104 1710156 2280208 3420312 3929287 6840624 7858574 11787861 15717148 23575722 27505009 31434296 47151444 55010018 62868592 82515027 94302888 110020036 165030054 188605776 220040072 330060108 440080144 660120216 1320240432