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125040400 = 2452312601
BaseRepresentation
bin1110111001111…
…11011100010000
322201021201011221
413130333130100
5224002243100
620224014424
73045553162
oct734773420
9281251157
10125040400
1164644781
1235a61414
131cba0204
141286c932
15ae9e01a
hex773f710

125040400 has 30 divisors (see below), whose sum is σ = 300410522. Its totient is φ = 50016000.

The previous prime is 125040379. The next prime is 125040401. The reversal of 125040400 is 4040521.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 115004176 = 3168^2 + 10724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (125040401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155901 + ... + 156700.

Almost surely, 2125040400 is an apocalyptic number.

125040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125040400 is an abundant number, since it is smaller than the sum of its proper divisors (175370122).

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

125040400 is a wasteful number, since it uses less digits than its factorization.

125040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312619 (or 312608 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 125040400 is about 11182.1464844635. The cubic root of 125040400 is about 500.0538608645.

Adding to 125040400 its reverse (4040521), we get a palindrome (129080921).

The spelling of 125040400 in words is "one hundred twenty-five million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 312601 625202 1250404 1563005 2500808 3126010 5001616 6252020 7815025 12504040 15630050 25008080 31260100 62520200 125040400