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2043681120 = 2532513109171
BaseRepresentation
bin111100111010000…
…0001100101100000
312021102112202110100
41321310001211200
513141140243440
6534443102400
7101434000665
oct17164014540
95242482410
102043681120
11959671968
12490511a00
1326752c590
141555c9a6c
15be640230
hex79d01960

2043681120 has 144 divisors (see below), whose sum is σ = 7510596912. Its totient is φ = 503055360.

The previous prime is 2043681103. The next prime is 2043681139. The reversal of 2043681120 is 211863402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35866 + ... + 73305.

It is an arithmetic number, because the mean of its divisors is an integer number (52156923).

Almost surely, 22043681120 is an apocalyptic number.

2043681120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043681120 is an abundant number, since it is smaller than the sum of its proper divisors (5466915792).

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

2043681120 is a wasteful number, since it uses less digits than its factorization.

2043681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109205 (or 109194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2043681120 is about 45207.0914791031. The cubic root of 2043681120 is about 1269.0275317386.

The spelling of 2043681120 in words is "two billion, forty-three million, six hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 109171 218342 327513 436684 545855 655026 873368 982539 1091710 1310052 1419223 1637565 1746736 1965078 2183420 2620104 2838446 3275130 3493472 3930156 4257669 4366840 4912695 5240208 5676892 6550260 7096115 7860312 8515338 8733680 9825390 10480416 11353784 12773007 13100520 14192230 15720624 17030676 17467360 19650780 21288345 22707568 25546014 26201040 28384460 31441248 34061352 39301560 42576690 45415136 51092028 52402080 56768920 63865035 68122704 78603120 85153380 102184056 113537840 127730070 136245408 157206240 170306760 204368112 227075680 255460140 340613520 408736224 510920280 681227040 1021840560 2043681120