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1082301840 = 243251738689
BaseRepresentation
bin100000010000010…
…1001110110010000
32210102112122000100
41000200221312100
54204032124330
6255221252400
735551261644
oct10040516620
92712478010
101082301840
11505a27434
12262564100
131432c51b9
14a3a52c24
156503c060
hex40829d90

1082301840 has 120 divisors (see below), whose sum is σ = 3656161080. Its totient is φ = 286912512.

The previous prime is 1082301827. The next prime is 1082301851. The reversal of 1082301840 is 481032801.

It can be written as a sum of positive squares in 4 ways, for example, as 549246096 + 533055744 = 23436^2 + 23088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10823018403 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120216 + ... + 128904.

It is an arithmetic number, because the mean of its divisors is an integer number (30468009).

Almost surely, 21082301840 is an apocalyptic number.

1082301840 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 1082301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828080540).

1082301840 is an abundant number, since it is smaller than the sum of its proper divisors (2573859240).

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

1082301840 is a wasteful number, since it uses less digits than its factorization.

1082301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1082301840 is about 32898.3561899375. The cubic root of 1082301840 is about 1026.7139565181.

The spelling of 1082301840 in words is "one billion, eighty-two million, three hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2595 2768 3114 3460 4152 5190 6228 6920 7785 8304 8689 10380 12456 13840 15570 17378 20760 24912 26067 31140 34756 41520 43445 52134 62280 69512 78201 86890 104268 124560 130335 139024 156402 173780 208536 260670 312804 347560 391005 417072 521340 625608 695120 782010 1042680 1251216 1503197 1564020 2085360 3006394 3128040 4509591 6012788 6256080 7515985 9019182 12025576 13528773 15031970 18038364 22547955 24051152 27057546 30063940 36076728 45095910 54115092 60127880 67643865 72153456 90191820 108230184 120255760 135287730 180383640 216460368 270575460 360767280 541150920 1082301840