Search a number
-
+
147042 = 2337389
BaseRepresentation
bin100011111001100010
321110201000
4203321202
514201132
63052430
71151460
oct437142
9243630
10147042
11a0525
1271116
1351c0c
143b830
152d87c
hex23e62

147042 has 32 divisors (see below), whose sum is σ = 374400. Its totient is φ = 41904.

The previous prime is 147031. The next prime is 147047. The reversal of 147042 is 240741.

It is a happy number.

147042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (147047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2147042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

147042 is an abundant number, since it is smaller than the sum of its proper divisors (227358).

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

147042 is a wasteful number, since it uses less digits than its factorization.

147042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 147042 is about 383.4605585976. The cubic root of 147042 is about 52.7813467167.

Adding to 147042 its reverse (240741), we get a palindrome (387783).

It can be divided in two parts, 14704 and 2, that added together give a triangular number (14706 = T171).

The spelling of 147042 in words is "one hundred forty-seven thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 389 778 1167 2334 2723 3501 5446 7002 8169 10503 16338 21006 24507 49014 73521 147042