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985520460 = 22351131371061
BaseRepresentation
bin111010101111011…
…101100101001100
32112200102121220210
4322233131211030
54004243123320
6241443042420
733264533331
oct7257354514
92480377823
10985520460
11466334121
12236070410
1312923a702
1494c5c988
155b7c10e0
hex3abdd94c

985520460 has 96 divisors (see below), whose sum is σ = 2806840512. Its totient is φ = 258334720.

The previous prime is 985520383. The next prime is 985520461. The reversal of 985520460 is 64025589.

It is a super-3 number, since 3×9855204603 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (985520461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928330 + ... + 929390.

It is an arithmetic number, because the mean of its divisors is an integer number (29237922).

Almost surely, 2985520460 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 985520460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403420256).

985520460 is an abundant number, since it is smaller than the sum of its proper divisors (1821320052).

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

985520460 is a wasteful number, since it uses less digits than its factorization.

985520460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 985520460 is about 31393.0001751983. Note that the first 3 decimals coincide. The cubic root of 985520460 is about 995.1500022162.

The spelling of 985520460 in words is "nine hundred eighty-five million, five hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 137 226 274 339 411 452 548 565 678 685 822 1061 1130 1356 1370 1644 1695 2055 2122 2260 2740 3183 3390 4110 4244 5305 6366 6780 8220 10610 12732 15481 15915 21220 30962 31830 46443 61924 63660 77405 92886 119893 145357 154810 185772 232215 239786 290714 309620 359679 436071 464430 479572 581428 599465 719358 726785 872142 928860 1198930 1438716 1453570 1744284 1798395 2180355 2397860 2907140 3596790 4360710 7193580 8721420 16425341 32850682 49276023 65701364 82126705 98552046 164253410 197104092 246380115 328506820 492760230 985520460