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1242006164 = 227236912791
BaseRepresentation
bin100101000000111…
…1000001010010100
310012120001110011022
41022001320022110
510020423144124
6323124300312
742530610140
oct11201701224
93176043138
101242006164
11588097683
122a7b41698
1316a4111b9
14bad46220
1574086c5e
hex4a078294

1242006164 has 48 divisors (see below), whose sum is σ = 2596694016. Its totient is φ = 508226400.

The previous prime is 1242006151. The next prime is 1242006173. The reversal of 1242006164 is 4616002421.

It is a super-2 number, since 2×12420061642 = 3085158622827989792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443609 + ... + 446399.

It is an arithmetic number, because the mean of its divisors is an integer number (54097792).

Almost surely, 21242006164 is an apocalyptic number.

1242006164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242006164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298347008).

1242006164 is an abundant number, since it is smaller than the sum of its proper divisors (1354687852).

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

1242006164 is a wasteful number, since it uses less digits than its factorization.

1242006164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1242006164 is about 35242.1078257246. The cubic root of 1242006164 is about 1074.9161395552.

Adding to 1242006164 its reverse (4616002421), we get a palindrome (5858008585).

The spelling of 1242006164 in words is "one billion, two hundred forty-two million, six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 691 1382 2764 2791 4837 5582 9674 11164 15893 19348 19537 31786 39074 63572 64193 78148 111251 128386 222502 256772 445004 449351 898702 1797404 1928581 3857162 7714324 13500067 27000134 44357363 54000268 88714726 177429452 310501541 621003082 1242006164