Search a number
-
+
12623325 = 35211213107
BaseRepresentation
bin110000001001…
…110111011101
3212202022221120
4300021313131
511212421300
61130321153
7212203461
oct60116735
925668846
1012623325
117142100
1242891b9
1327cc930
1419684a1
1511953a0
hexc09ddd

12623325 has 72 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 5596800.

The previous prime is 12623321. The next prime is 12623329. The reversal of 12623325 is 52332621.

12623325 = 622 + 632 + ... + 3362.

It is an interprime number because it is at equal distance from previous prime (12623321) and next prime (12623329).

It is not a de Polignac number, because 12623325 - 22 = 12623321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12623295 and 12623304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623321) 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 71 ways as a sum of consecutive naturals, for example, 117922 + ... + 118028.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 212623325 is an apocalyptic number.

12623325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12623325 is a deficient number, since it is larger than the sum of its proper divisors (12312579).

12623325 is a wasteful number, since it uses less digits than its factorization.

12623325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 12623325 is about 3552.9318878920. The cubic root of 12623325 is about 232.8401772570.

Adding to 12623325 its reverse (52332621), we get a palindrome (64955946).

The spelling of 12623325 in words is "twelve million, six hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 107 121 143 165 195 275 321 325 363 429 535 605 715 825 975 1177 1391 1573 1605 1815 2145 2675 3025 3531 3575 4173 4719 5885 6955 7865 8025 9075 10725 12947 15301 17655 20865 23595 29425 34775 38841 39325 45903 64735 76505 88275 104325 117975 168311 194205 229515 323675 382525 504933 841555 971025 1147575 2524665 4207775 12623325