Search a number
-
+
122070 = 23513313
BaseRepresentation
bin11101110011010110
320012110010
4131303112
512401240
62341050
71015614
oct356326
9205403
10122070
1183793
125a786
1343740
14326b4
1526280
hex1dcd6

122070 has 32 divisors (see below), whose sum is σ = 316512. Its totient is φ = 29952.

The previous prime is 122069. The next prime is 122081. The reversal of 122070 is 70221.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122070.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (9891).

2122070 is an apocalyptic number.

122070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158256).

122070 is an abundant number, since it is smaller than the sum of its proper divisors (194442).

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

122070 is a wasteful number, since it uses less digits than its factorization.

122070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 122070 is about 349.3851742705. The cubic root of 122070 is about 49.6062405433.

Adding to 122070 its reverse (70221), we get a palindrome (192291).

The spelling of 122070 in words is "one hundred twenty-two thousand, seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 313 390 626 939 1565 1878 3130 4069 4695 8138 9390 12207 20345 24414 40690 61035 122070