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631120 = 2457323
BaseRepresentation
bin10011010000101010000
31012001201211
42122011100
5130143440
621305504
75236000
oct2320520
91161654
10631120
113a1196
12265294
13191359
14126000
15c6eea
hex9a150

631120 has 80 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 206976.

The previous prime is 631061. The next prime is 631121. The reversal of 631120 is 21136.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 631120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631121) by changing a digit.

631120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27429 + ... + 27451.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2631120 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 631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

631120 is an abundant number, since it is smaller than the sum of its proper divisors (1154480).

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

631120 is a wasteful number, since it uses less digits than its factorization.

631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 631120 is about 794.4306137102. The cubic root of 631120 is about 85.7769594532.

Adding to 631120 its reverse (21136), we get a palindrome (652256).

The spelling of 631120 in words is "six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 343 368 392 460 490 560 644 686 784 805 920 980 1127 1288 1372 1610 1715 1840 1960 2254 2576 2744 3220 3430 3920 4508 5488 5635 6440 6860 7889 9016 11270 12880 13720 15778 18032 22540 27440 31556 39445 45080 63112 78890 90160 126224 157780 315560 631120