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125400 = 233521119
BaseRepresentation
bin11110100111011000
320101000110
4132213120
513003100
62404320
71031412
oct364730
9211013
10125400
1186240
12606a0
1345102
14339b2
1527250
hex1e9d8

125400 has 96 divisors (see below), whose sum is σ = 446400. Its totient is φ = 28800.

The previous prime is 125399. The next prime is 125407. The reversal of 125400 is 4521.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6591 + ... + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2125400 is an apocalyptic number.

125400 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 125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

125400 is an abundant number, since it is smaller than the sum of its proper divisors (321000).

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

125400 is a wasteful number, since it uses less digits than its factorization.

125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 125400 is about 354.1186241925. The cubic root of 125400 is about 50.0532765454.

Adding to 125400 its reverse (4521), we get a palindrome (129921).

It can be divided in two parts, 125 and 400, that added together give a palindrome (525).

The spelling of 125400 in words is "one hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 25 30 33 38 40 44 50 55 57 60 66 75 76 88 95 100 110 114 120 132 150 152 165 190 200 209 220 228 264 275 285 300 330 380 418 440 456 475 550 570 600 627 660 760 825 836 950 1045 1100 1140 1254 1320 1425 1650 1672 1900 2090 2200 2280 2508 2850 3135 3300 3800 4180 5016 5225 5700 6270 6600 8360 10450 11400 12540 15675 20900 25080 31350 41800 62700 125400