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1082802480 = 243589163311
BaseRepresentation
bin100000010001010…
…0100000100110000
32210110111001202120
41000202210010300
54204144134410
6255240114240
735555445354
oct10042440460
92713431676
101082802480
11506239591
12262765980
1314343c036
14a3b43464
15650da570
hex408a4130

1082802480 has 160 divisors (see below), whose sum is σ = 3426209280. Its totient is φ = 282839040.

The previous prime is 1082802439. The next prime is 1082802491. The reversal of 1082802480 is 842082801.

It is a super-2 number, since 2×10828024802 = 2344922421388300800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3481525 + ... + 3481835.

It is an arithmetic number, because the mean of its divisors is an integer number (21413808).

Almost surely, 21082802480 is an apocalyptic number.

1082802480 is a gapful number since it is divisible by the number (10) 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 1082802480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713104640).

1082802480 is an abundant number, since it is smaller than the sum of its proper divisors (2343406800).

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

1082802480 is a wasteful number, since it uses less digits than its factorization.

1082802480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1082802480 is about 32905.9642010381. The cubic root of 1082802480 is about 1026.8722410252.

The spelling of 1082802480 in words is "one billion, eighty-two million, eight hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 163 178 240 267 311 326 356 445 489 534 622 652 712 815 890 933 978 1068 1244 1304 1335 1424 1555 1630 1780 1866 1956 2136 2445 2488 2608 2670 3110 3260 3560 3732 3912 4272 4665 4890 4976 5340 6220 6520 7120 7464 7824 9330 9780 10680 12440 13040 14507 14928 18660 19560 21360 24880 27679 29014 37320 39120 43521 50693 55358 58028 72535 74640 83037 87042 101386 110716 116056 138395 145070 152079 166074 174084 202772 217605 221432 232112 253465 276790 290140 304158 332148 348168 405544 415185 435210 442864 506930 553580 580280 608316 664296 696336 760395 811088 830370 870420 1013860 1107160 1160560 1216632 1328592 1520790 1660740 1740840 2027720 2214320 2433264 3041580 3321480 3481680 4055440 4511677 6083160 6642960 9023354 12166320 13535031 18046708 22558385 27070062 36093416 45116770 54140124 67675155 72186832 90233540 108280248 135350310 180467080 216560496 270700620 360934160 541401240 1082802480