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630128424 = 233232235119
BaseRepresentation
bin100101100011101…
…111111100101000
31121220200211200210
4211203233330220
52242303102144
6142305501120
721421001052
oct4543577450
91556624623
10630128424
112a37668a2
121570417a0
13a0717173
145d98a8d2
153a4beab9
hex258eff28

630128424 has 64 divisors (see below), whose sum is σ = 1651507200. Its totient is φ = 199970496.

The previous prime is 630128423. The next prime is 630128431. The reversal of 630128424 is 424821036.

It is a junction number, because it is equal to n+sod(n) for n = 630128391 and 630128400.

It is not an unprimeable number, because it can be changed into a prime (630128423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120537 + ... + 125655.

It is an arithmetic number, because the mean of its divisors is an integer number (25804800).

Almost surely, 2630128424 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 630128424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825753600).

630128424 is an abundant number, since it is smaller than the sum of its proper divisors (1021378776).

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

630128424 is a wasteful number, since it uses less digits than its factorization.

630128424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 630128424 is about 25102.3589329768. The cubic root of 630128424 is about 857.3201345387.

The spelling of 630128424 in words is "six hundred thirty million, one hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 223 276 446 552 669 892 1338 1784 2676 5119 5129 5352 10238 10258 15357 15387 20476 20516 30714 30774 40952 41032 61428 61548 117737 122856 123096 235474 353211 470948 706422 941896 1141537 1412844 2283074 2825688 3424611 4566148 6849222 9132296 13698444 26255351 27396888 52510702 78766053 105021404 157532106 210042808 315064212 630128424