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125460 = 223251741
BaseRepresentation
bin11110101000010100
320101002200
4132220110
513003320
62404500
71031526
oct365024
9211080
10125460
1186295
1260730
134514a
1433a16
1527290
hex1ea14

125460 has 72 divisors (see below), whose sum is σ = 412776. Its totient is φ = 30720.

The previous prime is 125453. The next prime is 125471. The reversal of 125460 is 64521.

Adding to 125460 its reverse (64521), we get a palindrome (189981).

It can be divided in two parts, 125 and 460, that added together give a palindrome (585).

125460 = T9 + T10 + ... + T90.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 121104 = 66^2 + 348^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

125460 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, 3040 + ... + 3080.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

125460 is a Friedman number, since it can be written as 510*246, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 246510 (with its own digits).

2125460 is an apocalyptic number.

125460 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 125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

125460 is an abundant number, since it is smaller than the sum of its proper divisors (287316).

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

125460 is a wasteful number, since it uses less digits than its factorization.

125460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125460 is about 354.2033314355. The cubic root of 125460 is about 50.0612582512.

The spelling of 125460 in words is "one hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 62730 125460