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140400 = 24335213
BaseRepresentation
bin100010010001110000
321010121000
4202101300
513443100
63002000
71123221
oct422160
9233530
10140400
1196537
1269300
134bba0
1439248
152b900
hex22470

140400 has 120 divisors (see below), whose sum is σ = 538160. Its totient is φ = 34560.

The previous prime is 140381. The next prime is 140401. The reversal of 140400 is 4041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140401) by changing a digit.

140400 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 23 ways as a sum of consecutive naturals, for example, 10794 + ... + 10806.

2140400 is an apocalyptic number.

140400 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 140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269080).

140400 is an abundant number, since it is smaller than the sum of its proper divisors (397760).

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

140400 is a wasteful number, since it uses less digits than its factorization.

140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 140400 is about 374.6998799039. The cubic root of 140400 is about 51.9743463205.

Adding to 140400 its reverse (4041), we get a palindrome (144441).

It can be divided in two parts, 1 and 40400, that added together give a square (40401 = 2012).

The spelling of 140400 in words is "one hundred forty thousand, four hundred", and thus it is an iban number.