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125727030 = 232511139769
BaseRepresentation
bin1110111111001…
…11000100110110
322202120121001200
413133213010312
5224141231110
620250433330
73054443052
oct737470466
9282517050
10125727030
1164a73640
1236132846
13200808c0
14129aac62
15b0876c0
hex77e7136

125727030 has 96 divisors (see below), whose sum is σ = 384078240. Its totient is φ = 28131840.

The previous prime is 125727011. The next prime is 125727059. The reversal of 125727030 is 30727521.

It is a junction number, because it is equal to n+sod(n) for n = 125726985 and 125727003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7986 + ... + 17754.

It is an arithmetic number, because the mean of its divisors is an integer number (4000815).

Almost surely, 2125727030 is an apocalyptic number.

125727030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125727030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192039120).

125727030 is an abundant number, since it is smaller than the sum of its proper divisors (258351210).

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

125727030 is a wasteful number, since it uses less digits than its factorization.

125727030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 125727030 is about 11212.8065175495. The cubic root of 125727030 is about 500.9675000133.

The spelling of 125727030 in words is "one hundred twenty-five million, seven hundred twenty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 9769 12870 19538 29307 48845 58614 87921 97690 107459 126997 146535 175842 214918 253994 293070 322377 380991 439605 537295 634985 644754 761982 879210 967131 1074590 1142973 1269970 1396967 1611885 1904955 1934262 2285946 2793934 3223770 3809910 4190901 4835655 5714865 6984835 8381802 9671310 11429730 12572703 13969670 20954505 25145406 41909010 62863515 125727030