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114156 = 22337151
BaseRepresentation
bin11011110111101100
312210121000
4123313230
512123111
62240300
7653550
oct336754
9183530
10114156
1178849
1256090
133cc63
142d860
1523c56
hex1bdec

114156 has 48 divisors (see below), whose sum is σ = 340480. Its totient is φ = 32400.

The previous prime is 114143. The next prime is 114157. The reversal of 114156 is 651411.

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

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 114156.

It is not an unprimeable number, because it can be changed into a prime (114157) by changing a digit.

114156 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 15 ways as a sum of consecutive naturals, for example, 681 + ... + 831.

2114156 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 114156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170240).

114156 is an abundant number, since it is smaller than the sum of its proper divisors (226324).

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

114156 is a wasteful number, since it uses less digits than its factorization.

114156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 114156 is about 337.8697974072. The cubic root of 114156 is about 48.5101831454.

Adding to 114156 its reverse (651411), we get a palindrome (765567).

The spelling of 114156 in words is "one hundred fourteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 151 189 252 302 378 453 604 756 906 1057 1359 1812 2114 2718 3171 4077 4228 5436 6342 8154 9513 12684 16308 19026 28539 38052 57078 114156