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113274 = 23272931
BaseRepresentation
bin11011101001111010
312202101100
4123221322
512111044
62232230
7651150
oct335172
9182340
10113274
1178117
1255676
133c735
142d3d0
1523869
hex1ba7a

113274 has 48 divisors (see below), whose sum is σ = 299520. Its totient is φ = 30240.

The previous prime is 113233. The next prime is 113279. The reversal of 113274 is 472311.

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

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3639 + ... + 3669.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2113274 is an apocalyptic number.

113274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

113274 is an abundant number, since it is smaller than the sum of its proper divisors (186246).

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

113274 is a wasteful number, since it uses less digits than its factorization.

113274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 113274 is about 336.5620299440. The cubic root of 113274 is about 48.3849257521.

Adding to 113274 its reverse (472311), we get a palindrome (585585).

The spelling of 113274 in words is "one hundred thirteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 58 62 63 87 93 126 174 186 203 217 261 279 406 434 522 558 609 651 899 1218 1302 1798 1827 1953 2697 3654 3906 5394 6293 8091 12586 16182 18879 37758 56637 113274