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142208 = 2711101
BaseRepresentation
bin100010101110000000
321020001222
4202232000
514022313
63014212
71131413
oct425600
9236058
10142208
1197930
126a368
134c961
1439b7a
152c208
hex22b80

142208 has 32 divisors (see below), whose sum is σ = 312120. Its totient is φ = 64000.

The previous prime is 142193. The next prime is 142211. The reversal of 142208 is 802241.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

142208 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 3 ways as a sum of consecutive naturals, for example, 1358 + ... + 1458.

2142208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060).

142208 is an abundant number, since it is smaller than the sum of its proper divisors (169912).

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

142208 is a wasteful number, since it uses less digits than its factorization.

142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 142208 is about 377.1047599806. The cubic root of 142208 is about 52.1964952164.

142208 divided by its product of nonzero digits (128) gives a palindrome (1111).

Adding to 142208 its reverse (802241), we get a palindrome (944449).

It can be divided in two parts, 14 and 2208, that added together give a palindrome (2222).

The spelling of 142208 in words is "one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8888 12928 17776 35552 71104 142208