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122430 = 23571153
BaseRepresentation
bin11101111000111110
320012221110
4131320332
512404210
62342450
71016640
oct357076
9205843
10122430
1183a90
125aa26
1343959
1432890
1526420
hex1de3e

122430 has 64 divisors (see below), whose sum is σ = 373248. Its totient is φ = 24960.

The previous prime is 122401. The next prime is 122443. The reversal of 122430 is 34221.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

122430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2122430 is an apocalyptic number.

122430 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 122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624).

122430 is an abundant number, since it is smaller than the sum of its proper divisors (250818).

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

122430 is a wasteful number, since it uses less digits than its factorization.

122430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 122430 is about 349.8999857102. The cubic root of 122430 is about 49.6549577271.

Adding to 122430 its reverse (34221), we get a palindrome (156651).

Subtracting from 122430 its reverse (34221), we obtain a square (88209 = 2972).

It can be divided in two parts, 12 and 2430, that added together give a palindrome (2442).

The spelling of 122430 in words is "one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 53 55 66 70 77 105 106 110 154 159 165 210 231 265 318 330 371 385 462 530 583 742 770 795 1113 1155 1166 1590 1749 1855 2226 2310 2915 3498 3710 4081 5565 5830 8162 8745 11130 12243 17490 20405 24486 40810 61215 122430