Search a number
-
+
125144700 = 223521572657
BaseRepresentation
bin1110111010110…
…00111001111100
322201111000020220
413131120321330
5224014112300
620230141340
73046466232
oct735307174
9281430226
10125144700
116470607a
1235ab1850
131cc08825
1412898952
15aebeda0
hex7758e7c

125144700 has 72 divisors (see below), whose sum is σ = 364528752. Its totient is φ = 33146880.

The previous prime is 125144699. The next prime is 125144707. The reversal of 125144700 is 7441521.

It is a super-2 number, since 2×1251447002 = 31322391876180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125144707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45772 + ... + 48428.

Almost surely, 2125144700 is an apocalyptic number.

125144700 is a gapful number since it is divisible by the number (10) 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 125144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182264376).

125144700 is an abundant number, since it is smaller than the sum of its proper divisors (239384052).

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

125144700 is a wasteful number, since it uses less digits than its factorization.

125144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 125144700 is about 11186.8091965493. The cubic root of 125144700 is about 500.1928589346.

The spelling of 125144700 in words is "one hundred twenty-five million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 2657 3140 3925 4710 5314 7850 7971 9420 10628 11775 13285 15700 15942 23550 26570 31884 39855 47100 53140 66425 79710 132850 159420 199275 265700 398550 417149 797100 834298 1251447 1668596 2085745 2502894 4171490 5005788 6257235 8342980 10428725 12514470 20857450 25028940 31286175 41714900 62572350 125144700