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1364320425 = 352133759641
BaseRepresentation
bin101000101010001…
…1110000010101001
310112002012122210010
41101110132002221
510243231223200
6343214042133
745544350366
oct12124360251
93462178703
101364320425
1164013a146
12320aa9349
131898685c0
14cd2a546d
157eb98150
hex5151e0a9

1364320425 has 96 divisors (see below), whose sum is σ = 2541087360. Its totient is φ = 641433600.

The previous prime is 1364320411. The next prime is 1364320429. The reversal of 1364320425 is 5240234631.

It is not a de Polignac number, because 1364320425 - 25 = 1364320393 is a prime.

It is a super-2 number, since 2×13643204252 = 3722740444144361250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1364320392 and 1364320401.

It is not an unprimeable number, because it can be changed into a prime (1364320429) 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 95 ways as a sum of consecutive naturals, for example, 2128105 + ... + 2128745.

It is an arithmetic number, because the mean of its divisors is an integer number (26469660).

Almost surely, 21364320425 is an apocalyptic number.

1364320425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364320425 is a deficient number, since it is larger than the sum of its proper divisors (1176766935).

1364320425 is a wasteful number, since it uses less digits than its factorization.

1364320425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1364320425 is about 36936.7083671515. The cubic root of 1364320425 is about 1109.1036306952.

The spelling of 1364320425 in words is "one billion, three hundred sixty-four million, three hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 13 15 25 37 39 59 65 75 111 177 185 195 295 325 481 555 641 767 885 925 975 1443 1475 1923 2183 2301 2405 2775 3205 3835 4425 6549 7215 8333 9615 10915 11505 12025 16025 19175 23717 24999 28379 32745 36075 37819 41665 48075 54575 57525 71151 85137 113457 118585 124995 141895 163725 189095 208325 308321 355755 425685 491647 567285 592925 624975 709475 924963 945475 1399303 1474941 1541605 1778775 2128425 2458235 2836425 4197909 4624815 6996515 7374705 7708025 12291175 18190939 20989545 23124075 34982575 36873525 54572817 90954695 104947725 272864085 454773475 1364320425