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191142 = 23273741
BaseRepresentation
bin101110101010100110
3100201012100
4232222212
522104032
64032530
71424160
oct565246
9321170
10191142
11120676
1292746
1369003
144d930
153b97c
hex2eaa6

191142 has 48 divisors (see below), whose sum is σ = 497952. Its totient is φ = 51840.

The previous prime is 191141. The next prime is 191143. The reversal of 191142 is 241191.

It is an interprime number because it is at equal distance from previous prime (191141) and next prime (191143).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191141) 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, 4642 + ... + 4682.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2191142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976).

191142 is an abundant number, since it is smaller than the sum of its proper divisors (306810).

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

191142 is a wasteful number, since it uses less digits than its factorization.

191142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 191142 is about 437.1978956948. The cubic root of 191142 is about 57.6039204507.

It can be divided in two parts, 1911 and 42, that added together give a triangular number (1953 = T62).

The spelling of 191142 in words is "one hundred ninety-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 41 42 63 74 82 111 123 126 222 246 259 287 333 369 518 574 666 738 777 861 1517 1554 1722 2331 2583 3034 4551 4662 5166 9102 10619 13653 21238 27306 31857 63714 95571 191142