Search a number
-
+
633104420 = 225132792371
BaseRepresentation
bin100101101111000…
…110100000100100
31122010022000222212
4211233012200210
52244033320140
6142453342552
721455204324
oct4557064044
91563260885
10633104420
112a54097a3
12158037a58
13a1219900
1460123284
153a8ab765
hex25bc6824

633104420 has 72 divisors (see below), whose sum is σ = 1458495360. Its totient is φ = 230705280.

The previous prime is 633104419. The next prime is 633104473. The reversal of 633104420 is 24401336.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265835 + ... + 268205.

It is an arithmetic number, because the mean of its divisors is an integer number (20256880).

Almost surely, 2633104420 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 633104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729247680).

633104420 is an abundant number, since it is smaller than the sum of its proper divisors (825390940).

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

633104420 is a wasteful number, since it uses less digits than its factorization.

633104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 633104420 is about 25161.5663264432. The cubic root of 633104420 is about 858.6676774156.

Adding to 633104420 its reverse (24401336), we get a palindrome (657505756).

The spelling of 633104420 in words is "six hundred thirty-three million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 676 790 845 1027 1580 1690 2054 2371 3380 4108 4742 5135 9484 10270 11855 13351 20540 23710 26702 30823 47420 53404 61646 66755 123292 133510 154115 187309 267020 308230 374618 400699 616460 749236 801398 936545 1602796 1873090 2003495 2435017 3746180 4006990 4870034 8013980 9740068 12175085 24350170 31655221 48700340 63310442 126620884 158276105 316552210 633104420