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2030431700 = 2252118872081
BaseRepresentation
bin111100100000101…
…1110110111010100
312020111121121200002
41321001132313110
513124242303300
6533251110432
7101213245643
oct17101366724
95214547602
102030431700
11952142430
12487ba2418
1326487099b
1415393b35a
15bd3c45d5
hex7905edd4

2030431700 has 72 divisors (see below), whose sum is σ = 4814316864. Its totient is φ = 737152000.

The previous prime is 2030431661. The next prime is 2030431729. The reversal of 2030431700 is 71340302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974660 + ... + 976740.

It is an arithmetic number, because the mean of its divisors is an integer number (66865512).

Almost surely, 22030431700 is an apocalyptic number.

2030431700 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 2030431700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407158432).

2030431700 is an abundant number, since it is smaller than the sum of its proper divisors (2783885164).

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

2030431700 is a wasteful number, since it uses less digits than its factorization.

2030431700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2030431700 is about 45060.3118054014. The cubic root of 2030431700 is about 1266.2791666323.

The spelling of 2030431700 in words is "two billion, thirty million, four hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 887 1100 1774 2081 3548 4162 4435 8324 8870 9757 10405 17740 19514 20810 22175 22891 39028 41620 44350 45782 48785 52025 88700 91564 97570 104050 114455 195140 208100 228910 243925 457820 487850 572275 975700 1144550 1845847 2289100 3691694 7383388 9229235 18458470 20304317 36916940 40608634 46146175 81217268 92292350 101521585 184584700 203043170 406086340 507607925 1015215850 2030431700