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1012040420 = 22561782013
BaseRepresentation
bin111100010100101…
…000001011100100
32121112022222110112
4330110220023210
54033040243140
6244231312152
734036126106
oct7424501344
92545288415
101012040420
1147a2a7a46
12242b1b658
131318946b1
14985a3576
155dcadc65
hex3c5282e4

1012040420 has 24 divisors (see below), whose sum is σ = 2128755384. Its totient is φ = 404155136.

The previous prime is 1012040401. The next prime is 1012040437. The reversal of 1012040420 is 240402101.

It can be written as a sum of positive squares in 4 ways, for example, as 136235584 + 875804836 = 11672^2 + 29594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012040395 and 1012040404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28667 + ... + 53346.

It is an arithmetic number, because the mean of its divisors is an integer number (88698141).

Almost surely, 21012040420 is an apocalyptic number.

1012040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012040420 is an abundant number, since it is smaller than the sum of its proper divisors (1116714964).

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

1012040420 is a wasteful number, since it uses less digits than its factorization.

1012040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82639 (or 82637 counting only the distinct ones).

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

The square root of 1012040420 is about 31812.5827307372. The cubic root of 1012040420 is about 1003.9974722560.

Adding to 1012040420 its reverse (240402101), we get a palindrome (1252442521).

The spelling of 1012040420 in words is "one billion, twelve million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340 82013 164026 328052 410065 820130 1640260 50602021 101204042 202408084 253010105 506020210 1012040420