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1240000421 = 11892295531
BaseRepresentation
bin100100111101000…
…1110011110100101
310012102021112210112
41021322032132211
510014420003141
6323013302405
742504554402
oct11172163645
93172245715
101240000421
11586a47740
122a7334a05
13169b8b27a
14ba9832a9
1573cdc7eb
hex49e8e7a5

1240000421 has 16 divisors (see below), whose sum is σ = 1374148800. Its totient is φ = 1109539200.

The previous prime is 1240000393. The next prime is 1240000429.

1240000421 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1240000421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1240000396 and 1240000405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240000429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221426 + ... + 226956.

It is an arithmetic number, because the mean of its divisors is an integer number (85884300).

Almost surely, 21240000421 is an apocalyptic number.

1240000421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1240000421 is a deficient number, since it is larger than the sum of its proper divisors (134148379).

1240000421 is a wasteful number, since it uses less digits than its factorization.

1240000421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860.

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

The square root of 1240000421 is about 35213.6397011158. The cubic root of 1240000421 is about 1074.3371925739.

It can be divided in two parts, 1240000 and 421, that added together give a palindrome (1240421).

The spelling of 1240000421 in words is "one billion, two hundred forty million, four hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 89 229 979 2519 5531 20381 60841 224191 492259 1266599 5414849 13932589 112727311 1240000421