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125280 = 2533529
BaseRepresentation
bin11110100101100000
320100212000
4132211200
513002110
62404000
71031151
oct364540
9210760
10125280
1186141
1260600
134503c
1433928
15271c0
hex1e960

125280 has 96 divisors (see below), whose sum is σ = 453600. Its totient is φ = 32256.

The previous prime is 125269. The next prime is 125287. The reversal of 125280 is 82521.

It can be divided in two parts, 1 and 25280, that added together give a square (25281 = 1592).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125287) by changing a digit.

125280 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 15 ways as a sum of consecutive naturals, for example, 4306 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2125280 is an apocalyptic number.

125280 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 125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

125280 is an abundant number, since it is smaller than the sum of its proper divisors (328320).

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

125280 is a wasteful number, since it uses less digits than its factorization.

125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125280 is about 353.9491488901. The cubic root of 125280 is about 50.0373054924.

The spelling of 125280 in words is "one hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 72 80 87 90 96 108 116 120 135 144 145 160 174 180 216 232 240 261 270 288 290 348 360 432 435 464 480 522 540 580 696 720 783 864 870 928 1044 1080 1160 1305 1392 1440 1566 1740 2088 2160 2320 2610 2784 3132 3480 3915 4176 4320 4640 5220 6264 6960 7830 8352 10440 12528 13920 15660 20880 25056 31320 41760 62640 125280