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631389120 = 26353311987
BaseRepresentation
bin100101101000100…
…011101111000000
31122000001220001020
4211220203233000
52243113422440
6142352505440
721434501415
oct4550435700
91560056036
10631389120
112a4447a9a
1215754b280
13a0a68c3b
145dbd810c
153a66d3d0
hex25a23bc0

631389120 has 112 divisors (see below), whose sum is σ = 2011728768. Its totient is φ = 167777280.

The previous prime is 631389103. The next prime is 631389193. The reversal of 631389120 is 21983136.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 316767 + ... + 318753.

It is an arithmetic number, because the mean of its divisors is an integer number (17961864).

Almost surely, 2631389120 is an apocalyptic number.

631389120 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 631389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005864384).

631389120 is an abundant number, since it is smaller than the sum of its proper divisors (1380339648).

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

631389120 is a wasteful number, since it uses less digits than its factorization.

631389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 631389120 is about 25127.4574917559. The cubic root of 631389120 is about 857.8914995840.

The spelling of 631389120 in words is "six hundred thirty-one million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 331 480 662 960 993 1324 1655 1986 1987 2648 3310 3972 3974 4965 5296 5961 6620 7944 7948 9930 9935 10592 11922 13240 15888 15896 19860 19870 21184 23844 26480 29805 31776 31792 39720 39740 47688 52960 59610 63552 63584 79440 79480 95376 105920 119220 127168 158880 158960 190752 238440 317760 317920 381504 476880 635840 657697 953760 1315394 1907520 1973091 2630788 3288485 3946182 5261576 6576970 7892364 9865455 10523152 13153940 15784728 19730910 21046304 26307880 31569456 39461820 42092608 52615760 63138912 78923640 105231520 126277824 157847280 210463040 315694560 631389120