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1330368760 = 2357231671237
BaseRepresentation
bin100111101001011…
…1101000011111000
310102201022201212001
41033102331003320
510211033300020
6340002230344
744652643060
oct11722750370
93381281761
101330368760
11622a5a816
123116553b4
1318280ba66
14c89883a0
157bbdd50a
hex4f4bd0f8

1330368760 has 128 divisors (see below), whose sum is σ = 3593963520. Its totient is φ = 433331712.

The previous prime is 1330368749. The next prime is 1330368763. The reversal of 1330368760 is 678630331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330368763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074862 + ... + 1076098.

It is an arithmetic number, because the mean of its divisors is an integer number (28077840).

Almost surely, 21330368760 is an apocalyptic number.

1330368760 is a gapful number since it is divisible by the number (10) 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 1330368760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796981760).

1330368760 is an abundant number, since it is smaller than the sum of its proper divisors (2263594760).

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

1330368760 is a wasteful number, since it uses less digits than its factorization.

1330368760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 1330368760 is about 36474.2204851591. The cubic root of 1330368760 is about 1099.8260771854.

The spelling of 1330368760 in words is "one billion, three hundred thirty million, three hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 167 184 230 280 322 334 460 644 668 805 835 920 1169 1237 1288 1336 1610 1670 2338 2474 3220 3340 3841 4676 4948 5845 6185 6440 6680 7682 8659 9352 9896 11690 12370 15364 17318 19205 23380 24740 26887 28451 30728 34636 38410 43295 46760 49480 53774 56902 69272 76820 86590 107548 113804 134435 142255 153640 173180 199157 206579 215096 227608 268870 284510 346360 398314 413158 537740 569020 796628 826316 995785 1032895 1075480 1138040 1446053 1593256 1652632 1991570 2065790 2892106 3983140 4131580 4751317 5784212 7230265 7966280 8263160 9502634 11568424 14460530 19005268 23756585 28921060 33259219 38010536 47513170 57842120 66518438 95026340 133036876 166296095 190052680 266073752 332592190 665184380 1330368760