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1332532768 = 257311271511
BaseRepresentation
bin100111101101100…
…1101011000100000
310102212101200022111
41033123031120200
510212112022033
6340120445104
745010225120
oct11733153040
93385350274
101332532768
116241a8656
12312319794
131830b8a38
14c8d8cc80
157beb97cd
hex4f6cd620

1332532768 has 96 divisors (see below), whose sum is σ = 3121348608. Its totient is φ = 547948800.

The previous prime is 1332532697. The next prime is 1332532787. The reversal of 1332532768 is 8672352331.

It is a self number, because there is not a number n which added to its sum of digits gives 1332532768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881133 + ... + 882643.

It is an arithmetic number, because the mean of its divisors is an integer number (32514048).

Almost surely, 21332532768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560674304).

1332532768 is an abundant number, since it is smaller than the sum of its proper divisors (1788815840).

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

1332532768 is a wasteful number, since it uses less digits than its factorization.

1332532768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 1332532768 is about 36503.8733287305. The cubic root of 1332532768 is about 1100.4220881548.

The spelling of 1332532768 in words is "one billion, three hundred thirty-two million, five hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 127 217 224 248 254 434 496 508 868 889 992 1016 1511 1736 1778 2032 3022 3472 3556 3937 4064 6044 6944 7112 7874 10577 12088 14224 15748 21154 24176 27559 28448 31496 42308 46841 48352 55118 62992 84616 93682 110236 125984 169232 187364 191897 220472 327887 338464 374728 383794 440944 655774 749456 767588 881888 1311548 1343279 1498912 1535176 2623096 2686558 3070352 5246192 5373116 5948807 6140704 10492384 10746232 11897614 21492464 23795228 41641649 42984928 47590456 83283298 95180912 166566596 190361824 333133192 666266384 1332532768