Search a number
-
+
114100 = 22527163
BaseRepresentation
bin11011110110110100
312210111221
4123312310
512122400
62240124
7653440
oct336664
9183457
10114100
11787a8
1256044
133cc1c
142d820
1523c1a
hex1bdb4

114100 has 36 divisors (see below), whose sum is σ = 284704. Its totient is φ = 38880.

The previous prime is 114089. The next prime is 114113. The reversal of 114100 is 1411.

114100 = T41 + T42 + ... + T90.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 619 + ... + 781.

2114100 is an apocalyptic number.

114100 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 114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352).

114100 is an abundant number, since it is smaller than the sum of its proper divisors (170604).

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

114100 is a wasteful number, since it uses less digits than its factorization.

114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 114100 is about 337.7869150811. The cubic root of 114100 is about 48.5022495148.

Adding to 114100 its reverse (1411), we get a palindrome (115511).

The spelling of 114100 in words is "one hundred fourteen thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 5705 8150 11410 16300 22820 28525 57050 114100