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125125440 = 26351117241
BaseRepresentation
bin1110111010101…
…00001101000000
322201110000211120
413131110031000
5224013003230
620225512240
73046356126
oct735241500
9281400746
10125125440
11646a2660
1235aa2680
131cbccb2b
1412891916
15aeb9310
hex7754340

125125440 has 336 divisors, whose sum is σ = 471610944. Its totient is φ = 27852800.

The previous prime is 125125433. The next prime is 125125447. The reversal of 125125440 is 44521521.

It is an interprime number because it is at equal distance from previous prime (125125433) and next prime (125125447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125125440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051820 + ... + 3051860.

It is an arithmetic number, because the mean of its divisors is an integer number (1403604).

Almost surely, 2125125440 is an apocalyptic number.

125125440 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 125125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235805472).

125125440 is an abundant number, since it is smaller than the sum of its proper divisors (346485504).

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

125125440 is a wasteful number, since it uses less digits than its factorization.

125125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 125125440 is about 11185.9483281481. The cubic root of 125125440 is about 500.1671974171.

Adding to 125125440 its reverse (44521521), we get a palindrome (169646961).

The spelling of 125125440 in words is "one hundred twenty-five million, one hundred twenty-five thousand, four hundred forty".