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125940384 = 2532437293
BaseRepresentation
bin1111000000110…
…11001010100000
322202222102201200
413200123022200
5224220043014
620255201200
73056322063
oct740331240
9282872650
10125940384
11650a9969
1236216200
1320126a4b
1412a248da
15b0caa09
hex781b2a0

125940384 has 36 divisors (see below), whose sum is σ = 358143786. Its totient is φ = 41980032.

The previous prime is 125940371. The next prime is 125940389. The reversal of 125940384 is 483049521.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 51984 = 11220^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125940389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218359 + ... + 218934.

Almost surely, 2125940384 is an apocalyptic number.

It is an amenable number.

125940384 is an abundant number, since it is smaller than the sum of its proper divisors (232203402).

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

125940384 is a wasteful number, since it uses less digits than its factorization.

125940384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437309 (or 437298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125940384 is about 11222.3163384392. The cubic root of 125940384 is about 501.2507141529.

The spelling of 125940384 in words is "one hundred twenty-five million, nine hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 437293 874586 1311879 1749172 2623758 3498344 3935637 5247516 6996688 7871274 10495032 13993376 15742548 20990064 31485096 41980128 62970192 125940384