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1297319000 = 23533141849
BaseRepresentation
bin100110101010011…
…1000010001011000
310100102010122002212
41031110320101120
510124103202000
6332422014252
744102013065
oct11524702130
93312118085
101297319000
11606336a6a
12302577388
13178a098a3
14c4423c6c
1578d60c35
hex4d538458

1297319000 has 64 divisors (see below), whose sum is σ = 3133728000. Its totient is φ = 502176000.

The previous prime is 1297318937. The next prime is 1297319003. The reversal of 1297319000 is 9137921.

It is a happy number.

It is a super-2 number, since 2×12973190002 = 3366073175522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297319003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10076 + ... + 51924.

It is an arithmetic number, because the mean of its divisors is an integer number (48964500).

Almost surely, 21297319000 is an apocalyptic number.

1297319000 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 1297319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566864000).

1297319000 is an abundant number, since it is smaller than the sum of its proper divisors (1836409000).

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

1297319000 is a wasteful number, since it uses less digits than its factorization.

1297319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41901 (or 41887 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1297319000 is about 36018.3147856754. The cubic root of 1297319000 is about 1090.6421040659.

The spelling of 1297319000 in words is "one billion, two hundred ninety-seven million, three hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 41849 83698 167396 209245 334792 418490 836980 1046225 1297319 1673960 2092450 2594638 4184900 5189276 5231125 6486595 8369800 10378552 10462250 12973190 20924500 25946380 32432975 41849000 51892760 64865950 129731900 162164875 259463800 324329750 648659500 1297319000