Search a number
-
+
125605044 = 223217205237
BaseRepresentation
bin1110111110010…
…01010010110100
322202100101201200
413133021102310
5224123330134
620244052500
73053424315
oct737112264
9282311650
10125605044
116499aa24
1236094130
132003a216
141297860c
15b061499
hex77c94b4

125605044 has 36 divisors (see below), whose sum is σ = 336179844. Its totient is φ = 39405312.

The previous prime is 125605013. The next prime is 125605057. The reversal of 125605044 is 440506521.

125605044 is a `hidden beast` number, since 12 + 5 + 605 + 0 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72897444 + 52707600 = 8538^2 + 7260^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 125604999 and 125605017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102007 + ... + 103230.

It is an arithmetic number, because the mean of its divisors is an integer number (9338329).

Almost surely, 2125605044 is an apocalyptic number.

It is an amenable number.

125605044 is an abundant number, since it is smaller than the sum of its proper divisors (210574800).

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

125605044 is a wasteful number, since it uses less digits than its factorization.

125605044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205264 (or 205259 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125605044 is about 11207.3656137381. The cubic root of 125605044 is about 500.8054272107.

The spelling of 125605044 in words is "one hundred twenty-five million, six hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 205237 410474 615711 820948 1231422 1847133 2462844 3489029 3694266 6978058 7388532 10467087 13956116 20934174 31401261 41868348 62802522 125605044