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630315405 = 33519317927
BaseRepresentation
bin100101100100011…
…101100110001101
31121221001100012000
4211210131212031
52242330043110
6142313502513
721422410146
oct4544354615
91557040160
10630315405
112a3884325
12157111a39
13a07812c5
145d9d8acd
153a50a1c0
hex2591d98d

630315405 has 64 divisors (see below), whose sum is σ = 1217740800. Its totient is φ = 308162880.

The previous prime is 630315403. The next prime is 630315407. The reversal of 630315405 is 504513036.

630315405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630315403) and next prime (630315407).

It is not a de Polignac number, because 630315405 - 21 = 630315403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630315403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75552 + ... + 83478.

It is an arithmetic number, because the mean of its divisors is an integer number (19027200).

Almost surely, 2630315405 is an apocalyptic number.

It is an amenable number.

630315405 is a deficient number, since it is larger than the sum of its proper divisors (587425395).

630315405 is a wasteful number, since it uses less digits than its factorization.

630315405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 630315405 is about 25106.0830278242. The cubic root of 630315405 is about 857.4049250442.

The spelling of 630315405 in words is "six hundred thirty million, three hundred fifteen thousand, four hundred five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 465 513 589 837 855 1395 1767 2565 2945 4185 5301 7927 8835 15903 23781 26505 39635 71343 79515 118905 150613 214029 245737 356715 451839 737211 753065 1070145 1228685 1355517 2211633 2259195 3686055 4066551 4669003 6634899 6777585 11058165 14007009 20332755 23345015 33174495 42021027 70035045 126063081 210105135 630315405