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13423968 = 25345179
BaseRepresentation
bin110011001101…
…010101100000
3221021000020000
4303031111200
511414031333
61155420000
7222046635
oct63152540
927230200
1013423968
117639698
1245b4600
132a2019c
141ad618c
1512a2713
hexccd560

13423968 has 60 divisors (see below), whose sum is σ = 39487140. Its totient is φ = 4473792.

The previous prime is 13423967. The next prime is 13423979. The reversal of 13423968 is 86932431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (31104) is a multiple of the sum of its prime divisors (5184).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423967) 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 9 ways as a sum of consecutive naturals, for example, 3 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (658119).

Almost surely, 213423968 is an apocalyptic number.

13423968 is a gapful number since it is divisible by the number (18) 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 13423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19743570).

13423968 is an abundant number, since it is smaller than the sum of its proper divisors (26063172).

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

13423968 is an equidigital number, since it uses as much as digits as its factorization.

13423968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5184 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13423968 is about 3663.8733602569. The cubic root of 13423968 is about 237.6623038326.

The spelling of 13423968 in words is "thirteen million, four hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5179 10358 15537 20716 31074 41432 46611 62148 82864 93222 124296 139833 165728 186444 248592 279666 372888 419499 497184 559332 745776 838998 1118664 1491552 1677996 2237328 3355992 4474656 6711984 13423968