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1329965520 = 2435132914699
BaseRepresentation
bin100111101000101…
…1010100111010000
310102200120020201020
41033101122213100
510210432344040
6335545435440
744646343332
oct11721324720
93380506636
101329965520
11622804864
1231149bb80
131826ca360
14c88c1452
157bb5dcd0
hex4f45a9d0

1329965520 has 160 divisors (see below), whose sum is σ = 4593456000. Its totient is φ = 316065792.

The previous prime is 1329965519. The next prime is 1329965543. The reversal of 1329965520 is 255699231.

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, 83131 + ... + 97829.

It is an arithmetic number, because the mean of its divisors is an integer number (28709100).

Almost surely, 21329965520 is an apocalyptic number.

1329965520 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 1329965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296728000).

1329965520 is an abundant number, since it is smaller than the sum of its proper divisors (3263490480).

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

1329965520 is a wasteful number, since it uses less digits than its factorization.

1329965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 1329965520 is about 36468.6923264325. The cubic root of 1329965520 is about 1099.7149454209.

The spelling of 1329965520 in words is "one billion, three hundred twenty-nine million, nine hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 14699 15080 18096 22620 29398 30160 44097 45240 58796 73495 88194 90480 117592 146990 176388 191087 220485 235184 293980 352776 382174 426271 440970 573261 587960 705552 764348 852542 881940 955435 1146522 1175920 1278813 1528696 1705084 1763880 1910870 2131355 2293044 2557626 2866305 3057392 3410168 3527760 3821740 4262710 4586088 5115252 5541523 5732610 6394065 6820336 7643480 8525420 9172176 10230504 11083046 11465220 12788130 15286960 16624569 17050840 20461008 22166092 22930440 25576260 27707615 33249138 34101680 44332184 45860880 51152520 55415230 66498276 83122845 88664368 102305040 110830460 132996552 166245690 221660920 265993104 332491380 443321840 664982760 1329965520