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13420458 = 233318017
BaseRepresentation
bin110011001100…
…011110101010
3221020211102000
4303030132222
511413423313
61155351430
7222033462
oct63143652
927224360
1013420458
117636a97
1245b2576
132a1b6cc
141ad4ba2
1512a1673
hexccc7aa

13420458 has 32 divisors (see below), whose sum is σ = 30789120. Its totient is φ = 4328640.

The previous prime is 13420453. The next prime is 13420469. The reversal of 13420458 is 85402431.

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

It is not an unprimeable number, because it can be changed into a prime (13420453) 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 15 ways as a sum of consecutive naturals, for example, 2335 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (962160).

Almost surely, 213420458 is an apocalyptic number.

13420458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13420458 is an abundant number, since it is smaller than the sum of its proper divisors (17368662).

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

13420458 is a wasteful number, since it uses less digits than its factorization.

13420458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13420458 is about 3663.3943276694. The cubic root of 13420458 is about 237.6415879657.

Adding to 13420458 its reverse (85402431), we get a palindrome (98822889).

The spelling of 13420458 in words is "thirteen million, four hundred twenty thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 8017 16034 24051 48102 72153 144306 216459 248527 432918 497054 745581 1491162 2236743 4473486 6710229 13420458