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13322316 = 22372139163
BaseRepresentation
bin110010110100…
…100001001100
3221001211210010
4302310201030
511402303231
61153313220
7221144400
oct62644114
927054703
1013322316
11757a287
124565810
1329b5b37
141aab100
151282546
hexcb484c

13322316 has 72 divisors (see below), whose sum is σ = 36644160. Its totient is φ = 3755808.

The previous prime is 13322311. The next prime is 13322341. The reversal of 13322316 is 61322331.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13322292 and 13322301.

It is not an unprimeable number, because it can be changed into a prime (13322311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81651 + ... + 81813.

Almost surely, 213322316 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 13322316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18322080).

13322316 is an abundant number, since it is smaller than the sum of its proper divisors (23321844).

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

13322316 is a wasteful number, since it uses less digits than its factorization.

13322316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 13322316 is about 3649.9747944335. The cubic root of 13322316 is about 237.0608898366.

Adding to 13322316 its reverse (61322331), we get a palindrome (74644647).

The spelling of 13322316 in words is "thirteen million, three hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 163 196 278 294 326 417 489 556 588 652 834 973 978 1141 1668 1946 1956 2282 2919 3423 3892 4564 5838 6811 6846 7987 11676 13622 13692 15974 20433 22657 23961 27244 31948 40866 45314 47922 67971 81732 90628 95844 135942 158599 271884 317198 475797 634396 951594 1110193 1903188 2220386 3330579 4440772 6661158 13322316