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13322664 = 2333371667
BaseRepresentation
bin110010110100…
…100110101000
3221001212021000
4302310212220
511402311124
61153315000
7221145405
oct62644650
927055230
1013322664
11757a573
124565a60
1329b6044
141aab2ac
1512826c9
hexcb49a8

13322664 has 64 divisors (see below), whose sum is σ = 38030400. Its totient is φ = 4318272.

The previous prime is 13322657. The next prime is 13322669. The reversal of 13322664 is 46622331.

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.

It is not an unprimeable number, because it can be changed into a prime (13322669) 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, 7159 + ... + 8825.

It is an arithmetic number, because the mean of its divisors is an integer number (594225).

Almost surely, 213322664 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 13322664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015200).

13322664 is an abundant number, since it is smaller than the sum of its proper divisors (24707736).

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

13322664 is a wasteful number, since it uses less digits than its factorization.

13322664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13322664 is about 3650.0224656843. The cubic root of 13322664 is about 237.0629539539.

Adding to 13322664 its reverse (46622331), we get a palindrome (59944995).

The spelling of 13322664 in words is "thirteen million, three hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1667 1998 2664 3334 3996 5001 6668 7992 10002 13336 15003 20004 30006 40008 45009 60012 61679 90018 120024 123358 180036 185037 246716 360072 370074 493432 555111 740148 1110222 1480296 1665333 2220444 3330666 4440888 6661332 13322664