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13421184 = 27374993
BaseRepresentation
bin110011001100…
…101010000000
3221020212101220
4303030222000
511413434214
61155355040
7222035550
oct63145200
927225356
1013421184
117637597
1245b2a80
132a1bb3a
141ad5160
1512a19a9
hexccca80

13421184 has 64 divisors (see below), whose sum is σ = 40751040. Its totient is φ = 3833856.

The previous prime is 13421173. The next prime is 13421207. The reversal of 13421184 is 48112431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (636735).

Almost surely, 213421184 is an apocalyptic number.

13421184 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 13421184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375520).

13421184 is an abundant number, since it is smaller than the sum of its proper divisors (27329856).

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

13421184 is an equidigital number, since it uses as much as digits as its factorization.

13421184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5005 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 13421184 is about 3663.4934147614. The cubic root of 13421184 is about 237.6458730823.

The spelling of 13421184 in words is "thirteen million, four hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4993 9986 14979 19972 29958 34951 39944 59916 69902 79888 104853 119832 139804 159776 209706 239664 279608 319552 419412 479328 559216 639104 838824 958656 1118432 1677648 1917312 2236864 3355296 4473728 6710592 13421184