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1300413440 = 2105253987
BaseRepresentation
bin100110110000010…
…1011110000000000
310100121221211212202
41031200223300000
510130401212230
6333012212332
744140221554
oct11540536000
93317854782
101300413440
1160805a957
1230360a0a8
13179551211
14c49cb864
1579272a45
hex4d82bc00

1300413440 has 44 divisors (see below), whose sum is σ = 3119480616. Its totient is φ = 520163328.

The previous prime is 1300413407. The next prime is 1300413449. The reversal of 1300413440 is 443140031.

It is a happy number.

It is a super-2 number, since 2×13004134402 = 3382150229865267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300413449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121874 + ... + 132113.

Almost surely, 21300413440 is an apocalyptic number.

1300413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300413440 is an abundant number, since it is smaller than the sum of its proper divisors (1819067176).

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

1300413440 is an equidigital number, since it uses as much as digits as its factorization.

1300413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254012 (or 253994 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1300413440 is about 36061.2456800926. The cubic root of 1300413440 is about 1091.5085696374.

Adding to 1300413440 its reverse (443140031), we get a palindrome (1743553471).

The spelling of 1300413440 in words is "one billion, three hundred million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 253987 507974 1015948 1269935 2031896 2539870 4063792 5079740 8127584 10159480 16255168 20318960 32510336 40637920 65020672 81275840 130041344 162551680 260082688 325103360 650206720 1300413440