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1104442020 = 2233511216903
BaseRepresentation
bin100000111010100…
…0111001010100100
32211222012110122000
41001311013022210
54230214121040
6301332005300
736240413403
oct10165071244
92758173560
101104442020
11517479700
12269a60830
13147a777b6
14a697763a
1566e62130
hex41d472a4

1104442020 has 144 divisors (see below), whose sum is σ = 3777029760. Its totient is φ = 267727680.

The previous prime is 1104442007. The next prime is 1104442021. The reversal of 1104442020 is 202444011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104441984 and 1104442002.

It is not an unprimeable number, because it can be changed into a prime (1104442021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56889 + ... + 73791.

Almost surely, 21104442020 is an apocalyptic number.

1104442020 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 1104442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888514880).

1104442020 is an abundant number, since it is smaller than the sum of its proper divisors (2672587740).

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

1104442020 is a wasteful number, since it uses less digits than its factorization.

1104442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1104442020 is about 33233.1464053586. The cubic root of 1104442020 is about 1033.6677671116.

Adding to 1104442020 its reverse (202444011), we get a palindrome (1306886031).

The spelling of 1104442020 in words is "one billion, one hundred four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 16903 21780 32670 33806 50709 65340 67612 84515 101418 152127 169030 185933 202836 253545 304254 338060 371866 456381 507090 557799 608508 743732 760635 912762 929665 1014180 1115598 1521270 1673397 1825524 1859330 2045263 2231196 2281905 2788995 3042540 3346794 3718660 4090526 4563810 5020191 5577990 6135789 6693588 8181052 8366985 9127620 10040382 10226315 11155980 12271578 16733970 18407367 20080764 20452630 24543156 25100955 30678945 33467940 36814734 40905260 50201910 55222101 61357890 73629468 92036835 100403820 110444202 122715780 184073670 220888404 276110505 368147340 552221010 1104442020