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1116408020 = 2257131736083
BaseRepresentation
bin100001010001011…
…0000100011010100
32212210201101220012
41002202300203110
54241300024040
6302440255352
736444211610
oct10242604324
92783641805
101116408020
11523201962
12271a71558
1314a3a7180
14a83b0340
1568027865
hex428b08d4

1116408020 has 96 divisors (see below), whose sum is σ = 3055304448. Its totient is φ = 332531712.

The previous prime is 1116408001. The next prime is 1116408101. The reversal of 1116408020 is 208046111.

It is a congruent number.

It is an unprimeable number.

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, 12899 + ... + 48981.

It is an arithmetic number, because the mean of its divisors is an integer number (31826088).

Almost surely, 21116408020 is an apocalyptic number.

1116408020 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 1116408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527652224).

1116408020 is an abundant number, since it is smaller than the sum of its proper divisors (1938896428).

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

1116408020 is a wasteful number, since it uses less digits than its factorization.

1116408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36129 (or 36127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1116408020 is about 33412.6924985102. The cubic root of 1116408020 is about 1037.3874328928.

The spelling of 1116408020 in words is "one billion, one hundred sixteen million, four hundred eight thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 30940 36083 72166 144332 180415 252581 360830 469079 505162 613411 721660 938158 1010324 1226822 1262905 1876316 2345395 2453644 2525810 3067055 3283553 4293877 4690790 5051620 6134110 6567106 7974343 8587754 9381580 12268220 13134212 15948686 16417765 17175508 21469385 31897372 32835530 39871715 42938770 55820401 65671060 79743430 85877540 111640802 159486860 223281604 279102005 558204010 1116408020