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13417628 = 227479201
BaseRepresentation
bin110011001011…
…110010011100
3221020200112012
4303023302130
511413331003
61155330352
7222022310
oct63136234
927220465
1013417628
117634954
1245b09b8
132a1a333
141ad3b40
1512a08d8
hexccbc9c

13417628 has 12 divisors (see below), whose sum is σ = 26835312. Its totient is φ = 5750400.

The previous prime is 13417627. The next prime is 13417631. The reversal of 13417628 is 82671431.

13417628 is an admirable number.

It is a super-2 number, since 2×134176282 = 360065482292768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13417594 and 13417603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13417627) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 239573 + ... + 239628.

It is an arithmetic number, because the mean of its divisors is an integer number (2236276).

Almost surely, 213417628 is an apocalyptic number.

It is an amenable number.

13417628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13417628 is a wasteful number, since it uses less digits than its factorization.

13417628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479212 (or 479210 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 13417628 is about 3663.0080534992. The cubic root of 13417628 is about 237.6248827988.

The spelling of 13417628 in words is "thirteen million, four hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 479201 958402 1916804 3354407 6708814 13417628