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2040312300 = 22352134711131
BaseRepresentation
bin111100110011100…
…1011000111101100
312021012012121022020
41321213023013230
513134304443200
6534242550140
7101363240235
oct17147130754
95235177266
102040312300
11957780914
1248b368350
132669200b0
14154d9008c
15be1c6ea0
hex799cb1ec

2040312300 has 144 divisors (see below), whose sum is σ = 6493251072. Its totient is φ = 491500800.

The previous prime is 2040312299. The next prime is 2040312317. The reversal of 2040312300 is 32130402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2040312300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177735 + ... + 188865.

Almost surely, 22040312300 is an apocalyptic number.

2040312300 is a gapful number since it is divisible by the number (20) 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 2040312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246625536).

2040312300 is an abundant number, since it is smaller than the sum of its proper divisors (4452938772).

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

2040312300 is a wasteful number, since it uses less digits than its factorization.

2040312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2040312300 is about 45169.8162493495. The cubic root of 2040312300 is about 1268.3298565988.

Adding to 2040312300 its reverse (32130402), we get a palindrome (2072442702).

The spelling of 2040312300 in words is "two billion, forty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 188 195 235 260 282 300 325 390 470 564 611 650 705 780 940 975 1175 1222 1300 1410 1833 1950 2350 2444 2820 3055 3525 3666 3900 4700 6110 7050 7332 9165 11131 12220 14100 15275 18330 22262 30550 33393 36660 44524 45825 55655 61100 66786 91650 111310 133572 144703 166965 183300 222620 278275 289406 333930 434109 523157 556550 578812 667860 723515 834825 868218 1046314 1113100 1447030 1569471 1669650 1736436 2092628 2170545 2615785 2894060 3138942 3339300 3617575 4341090 5231570 6277884 6801041 7235150 7847355 8682180 10463140 10852725 13078925 13602082 14470300 15694710 20403123 21705450 26157850 27204164 31389420 34005205 39236775 40806246 43410900 52315700 68010410 78473550 81612492 102015615 136020820 156947100 170026025 204031230 340052050 408062460 510078075 680104100 1020156150 2040312300