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113460 = 22353161
BaseRepresentation
bin11011101100110100
312202122020
4123230310
512112320
62233140
7651534
oct335464
9182566
10113460
1178276
12557b0
133c849
142d4c4
1523940
hex1bb34

113460 has 48 divisors (see below), whose sum is σ = 333312. Its totient is φ = 28800.

The previous prime is 113453. The next prime is 113467. The reversal of 113460 is 64311.

It is an interprime number because it is at equal distance from previous prime (113453) and next prime (113467).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113467) 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, 1830 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2113460 is an apocalyptic number.

113460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

113460 is an abundant number, since it is smaller than the sum of its proper divisors (219852).

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

113460 is a wasteful number, since it uses less digits than its factorization.

113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113460 is about 336.8382401094. The cubic root of 113460 is about 48.4113945351.

Adding to 113460 its reverse (64311), we get a palindrome (177771).

The spelling of 113460 in words is "one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 915 930 1220 1830 1860 1891 3660 3782 5673 7564 9455 11346 18910 22692 28365 37820 56730 113460