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1330386072 = 233537114731
BaseRepresentation
bin100111101001100…
…0001010010011000
310102201100121121020
41033103001102120
510211034323242
6340002442440
744653044411
oct11723012230
93381317536
101330386072
11622a71824
12311663420
131828168c2
14c8990808
157bbe36ec
hex4f4c1498

1330386072 has 64 divisors (see below), whose sum is σ = 3436680960. Its totient is φ = 428937600.

The previous prime is 1330386067. The next prime is 1330386121. The reversal of 1330386072 is 2706830331.

It is a congruent number.

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, 82947 + ... + 97677.

It is an arithmetic number, because the mean of its divisors is an integer number (53698140).

Almost surely, 21330386072 is an apocalyptic number.

1330386072 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 1330386072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718340480).

1330386072 is an abundant number, since it is smaller than the sum of its proper divisors (2106294888).

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

1330386072 is a wasteful number, since it uses less digits than its factorization.

1330386072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14864 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1330386072 is about 36474.4578026871. The cubic root of 1330386072 is about 1099.8308478192.

The spelling of 1330386072 in words is "one billion, three hundred thirty million, three hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 568 636 852 1272 1704 3763 7526 11289 14731 15052 22578 29462 30104 44193 45156 58924 88386 90312 117848 176772 353544 780743 1045901 1561486 2091802 2342229 3122972 3137703 4183604 4684458 6245944 6275406 8367208 9368916 12550812 18737832 25101624 55432753 110865506 166298259 221731012 332596518 443462024 665193036 1330386072