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1004122020 = 2235111521397
BaseRepresentation
bin111011110110011…
…010111110100100
32120222102200110110
4323312122332210
54024023401040
6243345453020
733611616306
oct7366327644
92528380413
101004122020
11475889810
12240341170
13130051455
1497501976
155d247980
hex3bd9afa4

1004122020 has 48 divisors (see below), whose sum is σ = 3067138368. Its totient is φ = 243423360.

The previous prime is 1004122019. The next prime is 1004122033. The reversal of 1004122020 is 202214001.

It is a super-2 number, since 2×10041220202 = 2016522062097760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1004121987 and 1004122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760039 + ... + 761358.

It is an arithmetic number, because the mean of its divisors is an integer number (63898716).

Almost surely, 21004122020 is an apocalyptic number.

1004122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004122020 is an abundant number, since it is smaller than the sum of its proper divisors (2063016348).

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

1004122020 is a wasteful number, since it uses less digits than its factorization.

1004122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521420 (or 1521418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004122020 is about 31687.8844355378. The cubic root of 1004122020 is about 1001.3721230838.

Adding to 1004122020 its reverse (202214001), we get a palindrome (1206336021).

The spelling of 1004122020 in words is "one billion, four million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1521397 3042794 4564191 6085588 7606985 9128382 15213970 16735367 18256764 22820955 30427940 33470734 45641910 50206101 66941468 83676835 91283820 100412202 167353670 200824404 251030505 334707340 502061010 1004122020