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1004214020 = 225226922129
BaseRepresentation
bin111011110110110…
…001011100000100
32120222121100122212
4323312301130010
54024034322040
6243351442552
733612451445
oct7366613404
92528540585
101004214020
11475941947
12240386458
131300842a4
14975272cc
155d264d65
hex3bdb1704

1004214020 has 24 divisors (see below), whose sum is σ = 2109874200. Its totient is φ = 401490432.

The previous prime is 1004214007. The next prime is 1004214037. The reversal of 1004214020 is 204124001.

It can be written as a sum of positive squares in 4 ways, for example, as 102292996 + 901921024 = 10114^2 + 30032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004213986 and 1004214004.

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, 34316 + ... + 56444.

It is an arithmetic number, because the mean of its divisors is an integer number (87911425).

Almost surely, 21004214020 is an apocalyptic number.

1004214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004214020 is an abundant number, since it is smaller than the sum of its proper divisors (1105660180).

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

1004214020 is a wasteful number, since it uses less digits than its factorization.

1004214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24407 (or 24405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1004214020 is about 31689.3360612052. The cubic root of 1004214020 is about 1001.4027048325.

Adding to 1004214020 its reverse (204124001), we get a palindrome (1208338021).

The spelling of 1004214020 in words is "one billion, four million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 2269 4538 9076 11345 22129 22690 44258 45380 88516 110645 221290 442580 50210701 100421402 200842804 251053505 502107010 1004214020