Search a number
-
+
125055504 = 24327971279
BaseRepresentation
bin1110111010000…
…11001000010000
322201022110220100
413131003020100
5224003234004
620224212400
73045645210
oct735031020
9281273810
10125055504
1164655062
1235a6a100
131cba7052
1412874240
15aea3739
hex7743210

125055504 has 120 divisors (see below), whose sum is σ = 404418560. Its totient is φ = 35334144.

The previous prime is 125055487. The next prime is 125055559. The reversal of 125055504 is 405550521.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97137 + ... + 98415.

Almost surely, 2125055504 is an apocalyptic number.

125055504 is a gapful number since it is divisible by the number (14) 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 125055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202209280).

125055504 is an abundant number, since it is smaller than the sum of its proper divisors (279363056).

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

125055504 is a wasteful number, since it uses less digits than its factorization.

125055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 125055504 is about 11182.8218263549. The cubic root of 125055504 is about 500.0739943825.

The spelling of 125055504 in words is "one hundred twenty-five million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1279 1358 1552 1746 2037 2328 2558 2716 3492 3837 4074 4656 5116 5432 6111 6984 7674 8148 8953 10232 10864 11511 12222 13968 15348 16296 17906 20464 23022 24444 26859 30696 32592 35812 46044 48888 53718 61392 71624 80577 92088 97776 107436 124063 143248 161154 184176 214872 248126 322308 372189 429744 496252 644616 744378 868441 992504 1116567 1289232 1488756 1736882 1985008 2233134 2605323 2977512 3473764 4466268 5210646 5955024 6947528 7815969 8932536 10421292 13895056 15631938 17865072 20842584 31263876 41685168 62527752 125055504