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1404212020 = 225257273193
BaseRepresentation
bin101001110110010…
…1001001100110100
310121212021100202121
41103230221030310
510333434241040
6351201045324
746540414411
oct12354511464
93555240677
101404212020
11660706302
12332326844
13194bc49b3
14d46cb108
1583427c4a
hex53b29334

1404212020 has 24 divisors (see below), whose sum is σ = 2960330184. Its totient is φ = 559497216.

The previous prime is 1404212003. The next prime is 1404212021. The reversal of 1404212020 is 202124041.

1404212020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 732676624 + 671535396 = 27068^2 + 25914^2 .

It is a super-2 number, since 2×14042120202 = 3943622794224960800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1404211985 and 1404212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404212021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131457 + ... + 141736.

It is an arithmetic number, because the mean of its divisors is an integer number (123347091).

Almost surely, 21404212020 is an apocalyptic number.

1404212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404212020 is an abundant number, since it is smaller than the sum of its proper divisors (1556118164).

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

1404212020 is a wasteful number, since it uses less digits than its factorization.

1404212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273459 (or 273457 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1404212020 is about 37472.8170811857. The cubic root of 1404212020 is about 1119.8097093802.

Adding to 1404212020 its reverse (202124041), we get a palindrome (1606336061).

It can be divided in two parts, 14042 and 12020, that added together give a palindrome (26062).

The spelling of 1404212020 in words is "one billion, four hundred four million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 273193 546386 1092772 1365965 2731930 5463860 70210601 140421202 280842404 351053005 702106010 1404212020