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1300005126 = 23472349843
BaseRepresentation
bin100110101111100…
…1000000100000110
310100121012002210000
41031133020010012
510130300131001
6332555342130
744133601260
oct11537100406
93317162700
101300005126
11607901102
12303451946
1317943a404
14c4922b30
15791e1a86
hex4d7c8106

1300005126 has 80 divisors (see below), whose sum is σ = 3473927424. Its totient is φ = 355273776.

The previous prime is 1300005121. The next prime is 1300005143. The reversal of 1300005126 is 6215000031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1300005099 and 1300005108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300005121) 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 39 ways as a sum of consecutive naturals, for example, 1161 + ... + 51003.

Almost surely, 21300005126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300005126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736963712).

1300005126 is an abundant number, since it is smaller than the sum of its proper divisors (2173922298).

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

1300005126 is a wasteful number, since it uses less digits than its factorization.

1300005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49887 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1300005126 is about 36055.5838394000. The cubic root of 1300005126 is about 1091.3943175413.

Adding to 1300005126 its reverse (6215000031), we get a palindrome (7515005157).

The spelling of 1300005126 in words is "one billion, three hundred million, five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 8694 13041 26082 49843 99686 149529 299058 348901 448587 697802 897174 1046703 1146389 1345761 2093406 2292778 2691522 3140109 3439167 4037283 6280218 6878334 8024723 8074566 9420327 10317501 16049446 18840654 20635002 24074169 28260981 30952503 48148338 56521962 61905006 72222507 92857509 144445014 185715018 216667521 433335042 650002563 1300005126