Search a number
-
+
120400 = 2452743
BaseRepresentation
bin11101011001010000
320010011021
4131121100
512323100
62325224
71011010
oct353120
9203137
10120400
1182505
1259814
1342a57
1431c40
1525a1a
hex1d650

120400 has 60 divisors (see below), whose sum is σ = 338272. Its totient is φ = 40320.

The previous prime is 120397. The next prime is 120401. The reversal of 120400 is 4021.

Adding to 120400 its reverse (4021), we get a palindrome (124421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 2821.

2120400 is an apocalyptic number.

120400 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 120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169136).

120400 is an abundant number, since it is smaller than the sum of its proper divisors (217872).

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

120400 is a wasteful number, since it uses less digits than its factorization.

120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 120400 is about 346.9870314579. The cubic root of 120400 is about 49.3789854178.

The spelling of 120400 in words is "one hundred twenty thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 140 172 175 200 215 280 301 344 350 400 430 560 602 688 700 860 1075 1204 1400 1505 1720 2150 2408 2800 3010 3440 4300 4816 6020 7525 8600 12040 15050 17200 24080 30100 60200 120400