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1300075520 = 2105318191
BaseRepresentation
bin100110101111101…
…1001010000000000
310100121022200100012
41031133121100000
510130304404040
6333001044052
744134313432
oct11537312000
93317280305
101300075520
11607949a87
12303486628
13179463473
14c4940652
1579207865
hex4d7d9400

1300075520 has 88 divisors (see below), whose sum is σ = 3219652608. Its totient is φ = 503193600.

The previous prime is 1300075463. The next prime is 1300075537. The reversal of 1300075520 is 255700031.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 154625 + ... + 162815.

Almost surely, 21300075520 is an apocalyptic number.

1300075520 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 1300075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826304).

1300075520 is an abundant number, since it is smaller than the sum of its proper divisors (1919577088).

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

1300075520 is an equidigital number, since it uses as much as digits as its factorization.

1300075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 1300075520 is about 36056.5600134012. The cubic root of 1300075520 is about 1091.4140164956.

Adding to 1300075520 its reverse (255700031), we get a palindrome (1555775551).

The spelling of 1300075520 in words is "one billion, three hundred million, seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2480 2560 3968 4960 5120 7936 8191 9920 15872 16382 19840 31744 32764 39680 40955 65528 79360 81910 131056 158720 163820 253921 262112 327640 507842 524224 655280 1015684 1048448 1269605 1310560 2031368 2096896 2539210 2621120 4062736 4193792 5078420 5242240 8125472 8387584 10156840 10484480 16250944 20313680 20968960 32501888 40627360 41937920 65003776 81254720 130007552 162509440 260015104 325018880 650037760 1300075520