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121626 = 23229233
BaseRepresentation
bin11101101100011010
320011211200
4131230122
512343001
62335030
71014411
oct355432
9204750
10121626
118341a
125a476
134348b
1432478
1526086
hex1db1a

121626 has 24 divisors (see below), whose sum is σ = 273780. Its totient is φ = 38976.

The previous prime is 121621. The next prime is 121631. The reversal of 121626 is 626121.

Adding to 121626 its reverse (626121), we get a palindrome (747747).

It can be divided in two parts, 121 and 626, that added together give a palindrome (747).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121621) and next prime (121631).

It can be written as a sum of positive squares in 2 ways, for example, as 119025 + 2601 = 345^2 + 51^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 121599 and 121608.

It is not an unprimeable number, because it can be changed into a prime (121621) 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, 406 + ... + 638.

2121626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136890).

121626 is an abundant number, since it is smaller than the sum of its proper divisors (152154).

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

121626 is a wasteful number, since it uses less digits than its factorization.

121626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121626 is about 348.7491935475. The cubic root of 121626 is about 49.5460239227.

The spelling of 121626 in words is "one hundred twenty-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 233 261 466 522 699 1398 2097 4194 6757 13514 20271 40542 60813 121626