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630727504 = 241121033163
BaseRepresentation
bin100101100110000…
…010001101010000
31121221211021110221
4211212002031100
52242431240004
6142330402424
721426044461
oct4546021520
91557737427
10630727504
112a4035a00
12157290414
13a0896a54
145daa4d68
153a58c354
hex25982350

630727504 has 60 divisors (see below), whose sum is σ = 1356697888. Its totient is φ = 283821120.

The previous prime is 630727501. The next prime is 630727511. The reversal of 630727504 is 405727036.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 630727504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630727501) 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 11 ways as a sum of consecutive naturals, for example, 197827 + ... + 200989.

Almost surely, 2630727504 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 630727504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678348944).

630727504 is an abundant number, since it is smaller than the sum of its proper divisors (725970384).

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

630727504 is a wasteful number, since it uses less digits than its factorization.

630727504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 630727504 is about 25114.2888412155. The cubic root of 630727504 is about 857.5917409007.

The spelling of 630727504 in words is "six hundred thirty million, seven hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 824 968 1133 1648 1936 2266 3163 4532 6326 9064 12463 12652 18128 24926 25304 34793 49852 50608 69586 99704 139172 199408 278344 325789 382723 556688 651578 765446 1303156 1530892 2606312 3061784 3583679 5212624 6123568 7167358 14334716 28669432 39420469 57338864 78840938 157681876 315363752 630727504