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485941120 = 2757313499
BaseRepresentation
bin11100111101101…
…101111110000000
31020212101100220021
4130331231332000
51443400103440
6120115223224
715020300650
oct3475557600
91225340807
10485941120
1122a334835
121168a7b14
13798a1c32
1448776360
152c9dc84a
hex1cf6df80

485941120 has 128 divisors (see below), whose sum is σ = 1370880000. Its totient is φ = 161187840.

The previous prime is 485941117. The next prime is 485941121. The reversal of 485941120 is 21149584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4859411202 = 472277544213708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485941121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137131 + ... + 140629.

It is an arithmetic number, because the mean of its divisors is an integer number (10710000).

Almost surely, 2485941120 is an apocalyptic number.

485941120 is a gapful number since it is divisible by the number (40) 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 485941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440000).

485941120 is an abundant number, since it is smaller than the sum of its proper divisors (884938880).

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

485941120 is a wasteful number, since it uses less digits than its factorization.

485941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 485941120 is about 22044.0722190797. The cubic root of 485941120 is about 786.1906661052.

The spelling of 485941120 in words is "four hundred eighty-five million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3499 3968 4340 4480 4960 6944 6998 8680 9920 13888 13996 17360 17495 19840 24493 27776 27992 34720 34990 48986 55984 69440 69980 97972 108469 111968 122465 138880 139960 195944 216938 223936 244930 279920 391888 433876 447872 489860 542345 559840 759283 783776 867752 979720 1084690 1119680 1518566 1567552 1735504 1959440 2169380 2239360 3037132 3135104 3471008 3796415 3918880 4338760 6074264 6942016 7592830 7837760 8677520 12148528 13884032 15185660 15675520 17355040 24297056 30371320 34710080 48594112 60742640 69420160 97188224 121485280 242970560 485941120