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122952 = 23347109
BaseRepresentation
bin11110000001001000
320020122210
4132001020
512413302
62345120
71021314
oct360110
9206583
10122952
1184415
125b1a0
1343c6b
1432b44
152666c
hex1e048

122952 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 39744.

The previous prime is 122939. The next prime is 122953. The reversal of 122952 is 259221.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (122953) by changing a digit.

122952 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 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2122952 is an apocalyptic number.

122952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

122952 is an abundant number, since it is smaller than the sum of its proper divisors (193848).

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

122952 is a wasteful number, since it uses less digits than its factorization.

122952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 122952 is about 350.6451197436. The cubic root of 122952 is about 49.7254283010.

The spelling of 122952 in words is "one hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 109 141 188 218 282 327 376 436 564 654 872 1128 1308 2616 5123 10246 15369 20492 30738 40984 61476 122952