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1082808240 = 24354799419
BaseRepresentation
bin100000010001010…
…0101011110110000
32210110111100122220
41000202211132300
54204144330430
6255240201040
735555501223
oct10042453660
92713440586
101082808240
11506242948
12262769180
13143441847
14a3b455ba
15650dc110
hex408a57b0

1082808240 has 80 divisors (see below), whose sum is σ = 3364070400. Its totient is φ = 288115456.

The previous prime is 1082808151. The next prime is 1082808253. The reversal of 1082808240 is 428082801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10828082402 = 2344947369223795200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110251 + ... + 119669.

It is an arithmetic number, because the mean of its divisors is an integer number (42050880).

Almost surely, 21082808240 is an apocalyptic number.

1082808240 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 1082808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682035200).

1082808240 is an abundant number, since it is smaller than the sum of its proper divisors (2281262160).

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

1082808240 is a wasteful number, since it uses less digits than its factorization.

1082808240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9908 counting only the distinct ones).

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

The square root of 1082808240 is about 32906.0517230494. The cubic root of 1082808240 is about 1026.8740618478.

The spelling of 1082808240 in words is "one billion, eighty-two million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 479 958 1437 1916 2395 2874 3832 4790 5748 7185 7664 9419 9580 11496 14370 18838 19160 22992 28257 28740 37676 38320 47095 56514 57480 75352 94190 113028 114960 141285 150704 188380 226056 282570 376760 452112 565140 753520 1130280 2260560 4511701 9023402 13535103 18046804 22558505 27070206 36093608 45117010 54140412 67675515 72187216 90234020 108280824 135351030 180468040 216561648 270702060 360936080 541404120 1082808240