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13421408 = 2571113419
BaseRepresentation
bin110011001100…
…101101100000
3221020212201012
4303030231200
511413441113
61155400052
7222036320
oct63145540
927225635
1013421408
117637780
1245b3028
132a1bc80
141ad5280
1512a1aa8
hexcccb60

13421408 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4815360.

The previous prime is 13421407. The next prime is 13421411. The reversal of 13421408 is 80412431.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421407) 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, 31823 + ... + 32241.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 213421408 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 13421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13421408 is an abundant number, since it is smaller than the sum of its proper divisors (22140832).

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

13421408 is a wasteful number, since it uses less digits than its factorization.

13421408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 13421408 is about 3663.5239865463. The cubic root of 13421408 is about 237.6471951807.

Adding to 13421408 its reverse (80412431), we get a palindrome (93833839).

The spelling of 13421408 in words is "thirteen million, four hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 419 572 616 728 838 1001 1144 1232 1456 1676 2002 2288 2464 2912 2933 3352 4004 4576 4609 5447 5866 6704 8008 9218 10894 11732 13408 16016 18436 21788 23464 32032 32263 36872 38129 43576 46928 59917 64526 73744 76258 87152 93856 119834 129052 147488 152516 174304 239668 258104 305032 419419 479336 516208 610064 838838 958672 1032416 1220128 1677676 1917344 3355352 6710704 13421408