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120042 = 2351319
BaseRepresentation
bin11101010011101010
320002200000
4131103222
512320132
62323430
71006656
oct352352
9202600
10120042
118220a
1259576
1342840
1431a66
152587c
hex1d4ea

120042 has 48 divisors (see below), whose sum is σ = 305760. Its totient is φ = 34992.

The previous prime is 120041. The next prime is 120047. The reversal of 120042 is 240021.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 120042.

It is not an unprimeable number, because it can be changed into a prime (120041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6309 + ... + 6327.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

120042 is an abundant number, since it is smaller than the sum of its proper divisors (185718).

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

120042 is a wasteful number, since it uses less digits than its factorization.

120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120042 is about 346.4707779886. The cubic root of 120042 is about 49.3299953102.

Adding to 120042 its reverse (240021), we get a palindrome (360063).

The spelling of 120042 in words is "one hundred twenty thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 486 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 3159 4446 4617 6318 6669 9234 13338 20007 40014 60021 120042