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1328126160 = 243561831093
BaseRepresentation
bin100111100101001…
…1001100011010000
310102120002210120210
41033022121203100
510210000014120
6335442204120
744624612634
oct11712314320
93376083523
101328126160
11621768929
12310953640
1318220508a
14c8562dc4
157b8e8ce0
hex4f2998d0

1328126160 has 160 divisors (see below), whose sum is σ = 4238978688. Its totient is φ = 343848960.

The previous prime is 1328126159. The next prime is 1328126171. The reversal of 1328126160 is 616218231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214574 + ... + 1215666.

Almost surely, 21328126160 is an apocalyptic number.

1328126160 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 1328126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119489344).

1328126160 is an abundant number, since it is smaller than the sum of its proper divisors (2910852528).

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

1328126160 is a wasteful number, since it uses less digits than its factorization.

1328126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1328126160 is about 36443.4652578484. The cubic root of 1328126160 is about 1099.2077380597.

The spelling of 1328126160 in words is "one billion, three hundred twenty-eight million, one hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 83 120 122 166 183 240 244 249 305 332 366 415 488 498 610 664 732 830 915 976 996 1093 1220 1245 1328 1464 1660 1830 1992 2186 2440 2490 2928 3279 3320 3660 3984 4372 4880 4980 5063 5465 6558 6640 7320 8744 9960 10126 10930 13116 14640 15189 16395 17488 19920 20252 21860 25315 26232 30378 32790 40504 43720 50630 52464 60756 65580 66673 75945 81008 87440 90719 101260 121512 131160 133346 151890 181438 200019 202520 243024 262320 266692 272157 303780 333365 362876 400038 405040 453595 533384 544314 607560 666730 725752 800076 907190 1000095 1066768 1088628 1215120 1333460 1360785 1451504 1600152 1814380 2000190 2177256 2666920 2721570 3200304 3628760 4000380 4354512 5333840 5443140 5533859 7257520 8000760 10886280 11067718 16001520 16601577 21772560 22135436 27669295 33203154 44270872 55338590 66406308 83007885 88541744 110677180 132812616 166015770 221354360 265625232 332031540 442708720 664063080 1328126160