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491280240 = 243511712621
BaseRepresentation
bin11101010010000…
…101011101110000
31021020102121210110
4131102011131300
52001231431430
6120425501320
715113545623
oct3522053560
91236377713
10491280240
11232351130
12118641840
137aa21189
1449365dba
152d1e47b0
hex1d485770

491280240 has 160 divisors (see below), whose sum is σ = 1685463552. Its totient is φ = 117376000.

The previous prime is 491280239. The next prime is 491280241. The reversal of 491280240 is 42082194.

It is an interprime number because it is at equal distance from previous prime (491280239) and next prime (491280241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 491280198 and 491280207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491280241) 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, 186130 + ... + 188750.

Almost surely, 2491280240 is an apocalyptic number.

491280240 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 491280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842731776).

491280240 is an abundant number, since it is smaller than the sum of its proper divisors (1194183312).

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

491280240 is a wasteful number, since it uses less digits than its factorization.

491280240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 491280240 is about 22164.8424312017. The cubic root of 491280240 is about 789.0595228186.

The spelling of 491280240 in words is "four hundred ninety-one million, two hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2130 2343 2621 2640 2840 3124 3408 3905 4260 4686 5242 5680 6248 7810 7863 8520 9372 10484 11715 12496 13105 15620 15726 17040 18744 20968 23430 26210 28831 31240 31452 37488 39315 41936 46860 52420 57662 62480 62904 78630 86493 93720 104840 115324 125808 144155 157260 172986 186091 187440 209680 230648 288310 314520 345972 372182 432465 461296 558273 576620 629040 691944 744364 864930 930455 1116546 1153240 1383888 1488728 1729860 1860910 2047001 2233092 2306480 2791365 2977456 3459720 3721820 4094002 4466184 5582730 6141003 6919440 7443640 8188004 8932368 10235005 11165460 12282006 14887280 16376008 20470010 22330920 24564012 30705015 32752016 40940020 44661840 49128024 61410030 81880040 98256048 122820060 163760080 245640120 491280240