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13420008 = 2332726627
BaseRepresentation
bin110011001100…
…010111101000
3221020210210100
4303030113220
511413420013
61155345400
7222032250
oct63142750
927223710
1013420008
117636718
1245b2260
132a1b444
141ad4960
1512a1473
hexccc5e8

13420008 has 48 divisors (see below), whose sum is σ = 41539680. Its totient is φ = 3834144.

The previous prime is 13420003. The next prime is 13420019. The reversal of 13420008 is 80002431.

It is a happy number.

13420008 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134200082 = 360193229440128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

13420008 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13420003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12810 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (865410).

Almost surely, 213420008 is an apocalyptic number.

13420008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13420008 is an abundant number, since it is smaller than the sum of its proper divisors (28119672).

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

13420008 is a wasteful number, since it uses less digits than its factorization.

13420008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26646 (or 26639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13420008 is about 3663.3329087049. The cubic root of 13420008 is about 237.6389318241.

Adding to 13420008 its reverse (80002431), we get a palindrome (93422439).

The spelling of 13420008 in words is "thirteen million, four hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 26627 53254 79881 106508 159762 186389 213016 239643 319524 372778 479286 559167 639048 745556 958572 1118334 1491112 1677501 1917144 2236668 3355002 4473336 6710004 13420008