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2030032400 = 2452113531307
BaseRepresentation
bin111100011111111…
…1101011000010000
312020110212022221012
41320333331120100
513124142014100
6533234350052
7101206663544
oct17077753020
95213768835
102030032400
1195199a430
12487a2b328
13264761006
14153875a24
15bd346135
hex78ffd610

2030032400 has 120 divisors (see below), whose sum is σ = 5339685024. Its totient is φ = 735539200.

The previous prime is 2030032391. The next prime is 2030032421. The reversal of 2030032400 is 42300302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552547 + ... + 1553853.

Almost surely, 22030032400 is an apocalyptic number.

2030032400 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 2030032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669842512).

2030032400 is an abundant number, since it is smaller than the sum of its proper divisors (3309652624).

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

2030032400 is a wasteful number, since it uses less digits than its factorization.

2030032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2030032400 is about 45055.8808592175. The cubic root of 2030032400 is about 1266.1961533467.

Adding to 2030032400 its reverse (42300302), we get a palindrome (2072332702).

The spelling of 2030032400 in words is "two billion, thirty million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 353 400 440 550 706 880 1100 1307 1412 1765 2200 2614 2824 3530 3883 4400 5228 5648 6535 7060 7766 8825 10456 13070 14120 14377 15532 17650 19415 20912 26140 28240 28754 31064 32675 35300 38830 52280 57508 62128 65350 70600 71885 77660 97075 104560 115016 130700 141200 143770 155320 194150 230032 261400 287540 310640 359425 388300 461371 522800 575080 718850 776600 922742 1150160 1437700 1553200 1845484 2306855 2875400 3690968 4613710 5075081 5750800 7381936 9227420 10150162 11534275 18454840 20300324 23068550 25375405 36909680 40600648 46137100 50750810 81201296 92274200 101501620 126877025 184548400 203003240 253754050 406006480 507508100 1015016200 2030032400