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13722102 = 23359273
BaseRepresentation
bin110100010110…
…000111110110
3221211011012000
4310112013312
512003101402
61210040130
7224431062
oct64260766
927734160
1013722102
117822689
124719046
132ac5ab4
141b72aa2
151310c1c
hexd161f6

13722102 has 48 divisors (see below), whose sum is σ = 31444080. Its totient is φ = 4434912.

The previous prime is 13722097. The next prime is 13722103. The reversal of 13722102 is 20122731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187938 + ... + 188010.

It is an arithmetic number, because the mean of its divisors is an integer number (655085).

Almost surely, 213722102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13722102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722040).

13722102 is an abundant number, since it is smaller than the sum of its proper divisors (17721978).

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

13722102 is an equidigital number, since it uses as much as digits as its factorization.

13722102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13722102 is about 3704.3355679528. The cubic root of 13722102 is about 239.4088576568.

Adding to 13722102 its reverse (20122731), we get a palindrome (33844833).

It can be divided in two parts, 13722 and 102, that added together give a cube (13824 = 243).

The spelling of 13722102 in words is "thirteen million, seven hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 73 118 146 177 219 354 438 531 657 1062 1314 1593 1971 3186 3481 3942 4307 6962 8614 10443 12921 20886 25842 31329 38763 62658 77526 93987 116289 187974 232578 254113 508226 762339 1524678 2287017 4574034 6861051 13722102