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2020032320 = 26510162501
BaseRepresentation
bin111100001100111…
…0011111101000000
312012210001021101212
41320121303331000
513114112013240
6532240145252
7101025664025
oct17031637500
95183037355
102020032320
1194728a1a9
12484608228
1326266c3c7
141523d154c
15bc51d165
hex78673f40

2020032320 has 56 divisors (see below), whose sum is σ = 4857905448. Its totient is φ = 800000000.

The previous prime is 2020032319. The next prime is 2020032347. The reversal of 2020032320 is 232300202.

It can be written as a sum of positive squares in 4 ways, for example, as 1436713216 + 583319104 = 37904^2 + 24152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2020032295 and 2020032304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 63570.

Almost surely, 22020032320 is an apocalyptic number.

2020032320 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 2020032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428952724).

2020032320 is an abundant number, since it is smaller than the sum of its proper divisors (2837873128).

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

2020032320 is a wasteful number, since it uses less digits than its factorization.

2020032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62619 (or 62609 counting only the distinct ones).

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

The square root of 2020032320 is about 44944.7696623311. The cubic root of 2020032320 is about 1264.1136067306.

Adding to 2020032320 its reverse (232300202), we get a palindrome (2252332522).

The spelling of 2020032320 in words is "two billion, twenty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3232 4040 6464 8080 16160 32320 62501 125002 250004 312505 500008 625010 1000016 1250020 2000032 2500040 4000064 5000080 6312601 10000160 12625202 20000320 25250404 31563005 50500808 63126010 101001616 126252020 202003232 252504040 404006464 505008080 1010016160 2020032320