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1324988730 = 23251336701
BaseRepresentation
bin100111011111001…
…1011100100111010
310102100012101211200
41032332123210322
510203144114410
6335251035030
744556134622
oct11676334472
93370171750
101324988730
1161aa1570a
1230b89ba76
13181677000
14c7d87882
157b4c93c0
hex4ef9b93a

1324988730 has 96 divisors (see below), whose sum is σ = 3732477840. Its totient is φ = 326102400.

The previous prime is 1324988729. The next prime is 1324988767. The reversal of 1324988730 is 378894231.

It can be written as a sum of positive squares in 8 ways, for example, as 125821089 + 1199167641 = 11217^2 + 34629^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 194380 + ... + 201080.

Almost surely, 21324988730 is an apocalyptic number.

1324988730 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 1324988730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866238920).

1324988730 is an abundant number, since it is smaller than the sum of its proper divisors (2407489110).

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

1324988730 is a wasteful number, since it uses less digits than its factorization.

1324988730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1324988730 is about 36400.3946407178. The cubic root of 1324988730 is about 1098.3415034563.

The spelling of 1324988730 in words is "one billion, three hundred twenty-four million, nine hundred eighty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2197 2535 3042 4394 5070 6591 6701 7605 10985 13182 13402 15210 19773 20103 21970 32955 33505 39546 40206 60309 65910 67010 87113 98865 100515 120618 174226 197730 201030 261339 301545 435565 522678 603090 784017 871130 1132469 1306695 1568034 2264938 2613390 3397407 3920085 5662345 6794814 7840170 10192221 11324690 14722097 16987035 20384442 29444194 33974070 44166291 50961105 73610485 88332582 101922210 132498873 147220970 220831455 264997746 441662910 662494365 1324988730