Search a number
-
+
12621996 = 2232675233
BaseRepresentation
bin110000001001…
…100010101100
3212202021010100
4300021202230
511212400441
61130311100
7212166552
oct60114254
925667110
1012621996
117141102
124288490
1327cc14a
141967bd2
151194cb6
hexc098ac

12621996 has 36 divisors (see below), whose sum is σ = 32387992. Its totient is φ = 4143744.

The previous prime is 12621979. The next prime is 12621997. The reversal of 12621996 is 69912621.

12621996 = T163 + T164 + ... + T430.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12621996.

It is not an unprimeable number, because it can be changed into a prime (12621997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 5028.

Almost surely, 212621996 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 12621996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193996).

12621996 is an abundant number, since it is smaller than the sum of its proper divisors (19765996).

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

12621996 is a wasteful number, since it uses less digits than its factorization.

12621996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5305 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12621996 is about 3552.7448543345. The cubic root of 12621996 is about 232.8320057317.

It can be divided in two parts, 126 and 21996, that added together give a palindrome (22122).

The spelling of 12621996 in words is "twelve million, six hundred twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 5233 10466 15699 20932 31398 47097 62796 94194 188388 350611 701222 1051833 1402444 2103666 3155499 4207332 6310998 12621996