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13414842 = 2337231543
BaseRepresentation
bin110011001011…
…000110111010
3221020112201000
4303023012322
511413233332
61155305430
7222011220
oct63130672
927215630
1013414842
117632851
1245ab276
132a18c9c
141ad2b10
15129eb7c
hexccb1ba

13414842 has 64 divisors (see below), whose sum is σ = 35573760. Its totient is φ = 3663792.

The previous prime is 13414837. The next prime is 13414859. The reversal of 13414842 is 24841431.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7923 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (555840).

Almost surely, 213414842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786880).

13414842 is an abundant number, since it is smaller than the sum of its proper divisors (22158918).

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

13414842 is a wasteful number, since it uses less digits than its factorization.

13414842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13414842 is about 3662.6277452124. The cubic root of 13414842 is about 237.6084350643.

The spelling of 13414842 in words is "thirteen million, four hundred fourteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 1543 2898 3086 4347 4629 8694 9258 10801 13887 21602 27774 32403 35489 41661 64806 70978 83322 97209 106467 194418 212934 248423 291627 319401 496846 583254 638802 745269 958203 1490538 1916406 2235807 4471614 6707421 13414842