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1328580 = 2232511261
BaseRepresentation
bin101000100010111000100
32111111110200
411010113010
5320003310
644250500
714202261
oct5042704
92444420
101328580
11828200
12540a30
13376956
14268268
151b39c0
hex1445c4

1328580 has 108 divisors (see below), whose sum is σ = 4502316. Its totient is φ = 316800.

The previous prime is 1328573. The next prime is 1328603. The reversal of 1328580 is 858231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 1115136 = 462^2 + 1056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21750 + ... + 21810.

21328580 is an apocalyptic number.

1328580 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 1328580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

1328580 is an abundant number, since it is smaller than the sum of its proper divisors (3173736).

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

1328580 is a wasteful number, since it uses less digits than its factorization.

1328580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1328580 is about 1152.6404469738. The cubic root of 1328580 is about 109.9332928884.

The spelling of 1328580 in words is "one million, three hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 121 122 132 165 180 183 198 220 242 244 305 330 363 366 396 484 495 549 605 610 660 671 726 732 915 990 1089 1098 1210 1220 1342 1452 1815 1830 1980 2013 2178 2196 2420 2684 2745 3355 3630 3660 4026 4356 5445 5490 6039 6710 7260 7381 8052 10065 10890 10980 12078 13420 14762 20130 21780 22143 24156 29524 30195 36905 40260 44286 60390 66429 73810 88572 110715 120780 132858 147620 221430 265716 332145 442860 664290 1328580