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113940 = 22335211
BaseRepresentation
bin11011110100010100
312210022000
4123310110
512121230
62235300
7653121
oct336424
9183260
10113940
1178672
1255b30
133cb28
142d748
1523b60
hex1bd14

113940 has 48 divisors (see below), whose sum is σ = 356160. Its totient is φ = 30240.

The previous prime is 113933. The next prime is 113947. The reversal of 113940 is 49311.

It is an interprime number because it is at equal distance from previous prime (113933) and next prime (113947).

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 (113947) by changing a digit.

113940 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, 435 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (7420).

2113940 is an apocalyptic number.

113940 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 113940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178080).

113940 is an abundant number, since it is smaller than the sum of its proper divisors (242220).

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

113940 is a wasteful number, since it uses less digits than its factorization.

113940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113940 is about 337.5499962968. The cubic root of 113940 is about 48.4795676856.

The spelling of 113940 in words is "one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 1055 1266 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12660 18990 22788 28485 37980 56970 113940