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61290 = 2335227
BaseRepresentation
bin1110111101101010
310010002000
432331222
53430130
61151430
7343455
oct167552
9103060
1061290
1142059
122b576
1321b88
141849c
1513260
hexef6a

61290 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 16272.

The previous prime is 61283. The next prime is 61291. The reversal of 61290 is 9216.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61291) by changing a digit.

61290 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 157 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

261290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

61290 is an abundant number, since it is smaller than the sum of its proper divisors (102870).

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

61290 is a wasteful number, since it uses less digits than its factorization.

61290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61290 is about 247.5681724293. The cubic root of 61290 is about 39.4272548845.

It can be divided in two parts, 61 and 290, that added together give a triangular number (351 = T26).

The spelling of 61290 in words is "sixty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 227 270 454 681 1135 1362 2043 2270 3405 4086 6129 6810 10215 12258 20430 30645 61290