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631423080 = 233351913061
BaseRepresentation
bin100101101000101…
…100000001101000
31122000010121122000
4211220230001220
52243121014310
6142353331000
721435002421
oct4550540150
91560117560
10631423080
112a4470562
12157566a60
13a0a7b532
145dc06648
153a6784c0
hex25a2c068

631423080 has 128 divisors (see below), whose sum is σ = 2116454400. Its totient is φ = 167443200.

The previous prime is 631423033. The next prime is 631423087. The reversal of 631423080 is 80324136.

It is a happy number.

631423080 is a `hidden beast` number, since 631 + 4 + 23 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (631423087) 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 31 ways as a sum of consecutive naturals, for example, 204750 + ... + 207810.

It is an arithmetic number, because the mean of its divisors is an integer number (16534800).

Almost surely, 2631423080 is an apocalyptic number.

631423080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631423080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058227200).

631423080 is an abundant number, since it is smaller than the sum of its proper divisors (1485031320).

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

631423080 is a wasteful number, since it uses less digits than its factorization.

631423080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 631423080 is about 25128.1332374691. The cubic root of 631423080 is about 857.9068802064.

The spelling of 631423080 in words is "six hundred thirty-one million, four hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 191 216 270 360 382 540 573 764 955 1080 1146 1528 1719 1910 2292 2865 3061 3438 3820 4584 5157 5730 6122 6876 7640 8595 9183 10314 11460 12244 13752 15305 17190 18366 20628 22920 24488 25785 27549 30610 34380 36732 41256 45915 51570 55098 61220 68760 73464 82647 91830 103140 110196 122440 137745 165294 183660 206280 220392 275490 330588 367320 413235 550980 584651 661176 826470 1101960 1169302 1652940 1753953 2338604 2923255 3305880 3507906 4677208 5261859 5846510 7015812 8769765 10523718 11693020 14031624 15785577 17539530 21047436 23386040 26309295 31571154 35079060 42094872 52618590 63142308 70158120 78927885 105237180 126284616 157855770 210474360 315711540 631423080