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1305130304 = 26371035351
BaseRepresentation
bin100110111001010…
…1011010101000000
310100221211111012102
41031302223111000
510133103132204
6333301245532
744225265422
oct11562532500
93327744172
101305130304
1160a791795
123051038a8
1317a51316a
14c5498812
15798a541e
hex4dcab540

1305130304 has 56 divisors (see below), whose sum is σ = 2686190208. Its totient is φ = 628646400.

The previous prime is 1305130291. The next prime is 1305130381. The reversal of 1305130304 is 4030315031.

It is a happy number.

It is a super-2 number, since 2×13051303042 = 3406730220838264832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241229 + ... + 246579.

Almost surely, 21305130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343095104).

1305130304 is an abundant number, since it is smaller than the sum of its proper divisors (1381059904).

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

1305130304 is a wasteful number, since it uses less digits than its factorization.

1305130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1305130304 is about 36126.5872177265. The cubic root of 1305130304 is about 1092.8266850794.

Adding to 1305130304 its reverse (4030315031), we get a palindrome (5335445335).

The spelling of 1305130304 in words is "one billion, three hundred five million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 103 148 206 296 412 592 824 1184 1648 2368 3296 3811 5351 6592 7622 10702 15244 21404 30488 42808 60976 85616 121952 171232 197987 243904 342464 395974 551153 791948 1102306 1583896 2204612 3167792 4409224 6335584 8818448 12671168 17636896 20392661 35273792 40785322 81570644 163141288 326282576 652565152 1305130304