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1300143040 = 2657678663
BaseRepresentation
bin100110101111110…
…1001101111000000
310100121110002221221
41031133221233000
510130314034130
6333002324424
744135014330
oct11537515700
93317402857
101300143040
11607995789
123034b9714
13179488111
14c495b0c0
157921c87a
hex4d7e9bc0

1300143040 has 112 divisors (see below), whose sum is σ = 3591470592. Its totient is φ = 439059456.

The previous prime is 1300143023. The next prime is 1300143079. The reversal of 1300143040 is 403410031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145749 + ... + 154411.

Almost surely, 21300143040 is an apocalyptic number.

1300143040 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 1300143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795735296).

1300143040 is an abundant number, since it is smaller than the sum of its proper divisors (2291327552).

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

1300143040 is an equidigital number, since it uses as much as digits as its factorization.

1300143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300143040 is about 36057.4963079801. The cubic root of 1300143040 is about 1091.4329105259.

Adding to 1300143040 its reverse (403410031), we get a palindrome (1703553071).

The spelling of 1300143040 in words is "one billion, three hundred million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 938 1072 1120 1340 1876 2144 2240 2345 2680 3752 4288 4690 5360 7504 8663 9380 10720 15008 17326 18760 21440 30016 34652 37520 43315 60641 69304 75040 86630 121282 138608 150080 173260 242564 277216 303205 346520 485128 554432 580421 606410 693040 970256 1160842 1212820 1386080 1940512 2321684 2425640 2772160 2902105 3881024 4062947 4643368 4851280 5804210 8125894 9286736 9702560 11608420 16251788 18573472 19405120 20314735 23216840 32503576 37146944 40629470 46433680 65007152 81258940 92867360 130014304 162517880 185734720 260028608 325035760 650071520 1300143040