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13392216 = 2335832
BaseRepresentation
bin110011000101…
…100101011000
3221012101200000
4303011211120
511412022331
61155013000
7221555235
oct63054530
927171600
1013392216
117617852
12459a160
132a0b8b6
141ac878c
1512980e6
hexcc5958

13392216 has 72 divisors (see below), whose sum is σ = 38072580. Its totient is φ = 4410288.

The previous prime is 13392193. The next prime is 13392251. The reversal of 13392216 is 61229331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13392216.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 161311 + ... + 161393.

Almost surely, 213392216 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 13392216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036290).

13392216 is an abundant number, since it is smaller than the sum of its proper divisors (24680364).

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

13392216 is an frugal number, since it uses more digits than its factorization.

13392216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 88 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13392216 is about 3659.5376757181. The cubic root of 13392216 is about 237.4747733132.

Multiplying 13392216 by its product of digits (1944), we get a square (26034467904 = 1613522).

13392216 divided by its product of digits (1944) gives a square (6889 = 832).

The spelling of 13392216 in words is "thirteen million, three hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 747 972 996 1494 1944 1992 2241 2988 4482 5976 6723 6889 8964 13446 13778 17928 20169 20667 26892 27556 40338 41334 53784 55112 62001 80676 82668 124002 161352 165336 186003 248004 372006 496008 558009 744012 1116018 1488024 1674027 2232036 3348054 4464072 6696108 13392216