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1082740560 = 2435113371217
BaseRepresentation
bin100000010001001…
…0100111101010000
32210110100220211020
41000202110331100
54204140144220
6255234515440
735555100006
oct10042247520
92713326736
101082740560
115061a7010
12262735b80
13143419ab5
14a3b28a76
15650c7040
hex40894f50

1082740560 has 160 divisors (see below), whose sum is σ = 3675514752. Its totient is φ = 261488640.

The previous prime is 1082740541. The next prime is 1082740567. The reversal of 1082740560 is 650472801.

It is a super-2 number, since 2×10827405602 = 2344654240538227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082740567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889072 + ... + 890288.

Almost surely, 21082740560 is an apocalyptic number.

1082740560 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 1082740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837757376).

1082740560 is an abundant number, since it is smaller than the sum of its proper divisors (2592774192).

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

1082740560 is a wasteful number, since it uses less digits than its factorization.

1082740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1082740560 is about 32905.0233247144. The cubic root of 1082740560 is about 1026.8526667747.

The spelling of 1082740560 in words is "one billion, eighty-two million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 337 440 528 660 674 880 1011 1217 1320 1348 1685 2022 2434 2640 2696 3370 3651 3707 4044 4868 5055 5392 6085 6740 7302 7414 8088 9736 10110 11121 12170 13387 13480 14604 14828 16176 18255 18535 19472 20220 22242 24340 26774 26960 29208 29656 36510 37070 40161 40440 44484 48680 53548 55605 58416 59312 66935 73020 74140 80322 80880 88968 97360 107096 111210 133870 146040 148280 160644 177936 200805 214192 222420 267740 292080 296560 321288 401610 410129 444840 535480 642576 803220 820258 889680 1070960 1230387 1606440 1640516 2050645 2460774 3212880 3281032 4101290 4511419 4921548 6151935 6562064 8202580 9022838 9843096 12303870 13534257 16405160 18045676 19686192 22557095 24607740 27068514 32810320 36091352 45114190 49215480 54137028 67671285 72182704 90228380 98430960 108274056 135342570 180456760 216548112 270685140 360913520 541370280 1082740560