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61122 = 2361167
BaseRepresentation
bin1110111011000010
310002211210
432323002
53423442
61150550
7343125
oct167302
9102753
1061122
1141a16
122b456
1321a89
14183bc
151319c
hexeec2

61122 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 19920.

The previous prime is 61121. The next prime is 61129. The reversal of 61122 is 22116.

Adding to 61122 its reverse (22116), we get a palindrome (83238).

It can be divided in two parts, 6 and 1122, that added together give a triangular number (1128 = T47).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 61098 and 61107.

It is not an unprimeable number, because it can be changed into a prime (61121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

261122 is an apocalyptic number.

61122 is an abundant number, since it is smaller than the sum of its proper divisors (63870).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

61122 is a wasteful number, since it uses less digits than its factorization.

61122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 24, while the sum is 12.

The square root of 61122 is about 247.2286391177. The cubic root of 61122 is about 39.3911976694.

The spelling of 61122 in words is "sixty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 61 122 167 183 334 366 501 1002 10187 20374 30561 61122