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2020004420 = 225722299001
BaseRepresentation
bin111100001100110…
…1101001001000100
312012202222212010112
41320121231021010
513114110120140
6532235412152
7101025516500
oct17031551104
95182885115
102020004420
11947270245
124845b4058
1326265c7b5
141523c5300
15bc514c65
hex7866d244

2020004420 has 72 divisors (see below), whose sum is σ = 4956681240. Its totient is φ = 689472000.

The previous prime is 2020004377. The next prime is 2020004477. The reversal of 2020004420 is 244000202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 316626436 + 1703377984 = 17794^2 + 41272^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2020004395 and 2020004404.

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, 219920 + ... + 228920.

It is an arithmetic number, because the mean of its divisors is an integer number (68842795).

Almost surely, 22020004420 is an apocalyptic number.

2020004420 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 2020004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478340620).

2020004420 is an abundant number, since it is smaller than the sum of its proper divisors (2936676820).

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

2020004420 is a wasteful number, since it uses less digits than its factorization.

2020004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2020004420 is about 44944.4592803162. The cubic root of 2020004420 is about 1264.1077868679.

Adding to 2020004420 its reverse (244000202), we get a palindrome (2264004622).

The spelling of 2020004420 in words is "two billion, twenty million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 916 980 1145 1603 2290 3206 4580 6412 8015 9001 11221 16030 18002 22442 32060 36004 44884 45005 56105 63007 90010 112210 126014 180020 224420 252028 315035 441049 630070 882098 1260140 1764196 2061229 2205245 4122458 4410490 8244916 8820980 10306145 14428603 20612290 28857206 41224580 57714412 72143015 101000221 144286030 202000442 288572060 404000884 505001105 1010002210 2020004420