Search a number
-
+
125263104 = 283211773
BaseRepresentation
bin1110111011101…
…01110100000000
322201201000200020
413131311310000
5224031404404
620232453440
73050501361
oct735656400
9281630606
10125263104
116478702a
1235b4a280
131cc4a6a5
14128c9b68
15aee4ed9
hex7775d00

125263104 has 72 divisors (see below), whose sum is σ = 335395872. Its totient is φ = 41502720.

The previous prime is 125263091. The next prime is 125263121. The reversal of 125263104 is 401362521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161662 + ... + 162434.

It is an arithmetic number, because the mean of its divisors is an integer number (4658276).

Almost surely, 2125263104 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 125263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167697936).

125263104 is an abundant number, since it is smaller than the sum of its proper divisors (210132768).

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

125263104 is an equidigital number, since it uses as much as digits as its factorization.

125263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125263104 is about 11192.1000710322. The cubic root of 125263104 is about 500.3505594920.

The spelling of 125263104 in words is "one hundred twenty-five million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 633 768 773 844 1266 1546 1688 2319 2532 3092 3376 4638 5064 6184 6752 9276 10128 12368 13504 18552 20256 24736 27008 37104 40512 49472 54016 74208 81024 98944 148416 162048 163103 197888 296832 326206 489309 593664 652412 978618 1304824 1957236 2609648 3914472 5219296 7828944 10438592 15657888 20877184 31315776 41754368 62631552 125263104