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13421144 = 23111923349
BaseRepresentation
bin110011001100…
…101001011000
3221020212100102
4303030221120
511413434034
61155354532
7222035462
oct63145130
927225312
1013421144
117637560
1245b2a48
132a1bb09
141ad5132
1512a197e
hexccca58

13421144 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 5512320.

The previous prime is 13421141. The next prime is 13421173. The reversal of 13421144 is 44112431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38282 + ... + 38630.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 213421144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

13421144 is an abundant number, since it is smaller than the sum of its proper divisors (16818856).

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

13421144 is a wasteful number, since it uses less digits than its factorization.

13421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 13421144 is about 3663.4879554872. The cubic root of 13421144 is about 237.6456369917.

Adding to 13421144 its reverse (44112431), we get a palindrome (57533575).

The spelling of 13421144 in words is "thirteen million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 349 418 437 506 698 836 874 1012 1396 1672 1748 2024 2792 3496 3839 4807 6631 7678 8027 9614 13262 15356 16054 19228 26524 30712 32108 38456 53048 64216 72941 88297 145882 152513 176594 291764 305026 353188 583528 610052 706376 1220104 1677643 3355286 6710572 13421144