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1325000082 = 2373291492
BaseRepresentation
bin100111011111001…
…1110010110010010
310102100012222102010
41032332132112102
510203200000312
6335251203350
744556213000
oct11676362622
93370188363
101325000082
1161aa2319a
1230b8a6556
1318167c223
14c7d8ba70
157b4cc93c
hex4ef9e592

1325000082 has 96 divisors (see below), whose sum is σ = 3218544000. Its totient is φ = 363064128.

The previous prime is 1325000071. The next prime is 1325000099. The reversal of 1325000082 is 2800005231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8892544 + ... + 8892692.

It is an arithmetic number, because the mean of its divisors is an integer number (33526500).

Almost surely, 21325000082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325000082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609272000).

1325000082 is an abundant number, since it is smaller than the sum of its proper divisors (1893543918).

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

1325000082 is an equidigital number, since it uses as much as digits as its factorization.

1325000082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1325000082 is about 36400.5505727592. The cubic root of 1325000082 is about 1098.3446401715.

The spelling of 1325000082 in words is "one billion, three hundred twenty-five million, eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 149 174 203 294 298 343 406 447 609 686 894 1029 1043 1218 1421 2058 2086 2842 3129 4263 4321 6258 7301 8526 8642 9947 12963 14602 19894 21903 22201 25926 29841 30247 43806 44402 51107 59682 60494 66603 90741 102214 133206 153321 155407 181482 211729 306642 310814 423458 466221 635187 643829 932442 1087849 1270374 1287658 1482103 1931487 2175698 2964206 3263547 3862974 4446309 4506803 6527094 7614943 8892618 9013606 13520409 15229886 22844829 27040818 31547621 45689658 63095242 94642863 189285726 220833347 441666694 662500041 1325000082