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125323072 = 267793541
BaseRepresentation
bin1110111100001…
…00011101000000
322201211001221021
413132010131000
5224040314242
620234035224
73051141250
oct736043500
9281731837
10125323072
1164818096
1235b78b14
131cc6ba84
1412903960
15b007b67
hex7784740

125323072 has 56 divisors (see below), whose sum is σ = 287893760. Its totient is φ = 53015040.

The previous prime is 125323063. The next prime is 125323073. The reversal of 125323072 is 270323521.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125323073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33622 + ... + 37162.

It is an arithmetic number, because the mean of its divisors is an integer number (5140960).

Almost surely, 2125323072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143946880).

125323072 is an abundant number, since it is smaller than the sum of its proper divisors (162570688).

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

125323072 is an equidigital number, since it uses as much as digits as its factorization.

125323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 125323072 is about 11194.7787829863. The cubic root of 125323072 is about 500.4303920857.

Adding to 125323072 its reverse (270323521), we get a palindrome (395646593).

The spelling of 125323072 in words is "one hundred twenty-five million, three hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 3541 4424 5056 7082 8848 14164 17696 24787 28328 35392 49574 56656 99148 113312 198296 226624 279739 396592 559478 793184 1118956 1586368 1958173 2237912 3916346 4475824 7832692 8951648 15665384 17903296 31330768 62661536 125323072