Search a number
-
+
125008380 = 22335733071
BaseRepresentation
bin1110111001101…
…11100111111100
322201020002021000
413130313213330
5224000232010
620223210300
73045360630
oct734674774
9281202230
10125008380
1164622712
1235a46990
131cb8b773
1412860dc0
15ae947c0
hex77379fc

125008380 has 96 divisors (see below), whose sum is σ = 444487680. Its totient is φ = 28572480.

The previous prime is 125008379. The next prime is 125008393. The reversal of 125008380 is 83800521.

It is a happy number.

125008380 is a `hidden beast` number, since 1 + 2 + 500 + 83 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756 + ... + 20315.

It is an arithmetic number, because the mean of its divisors is an integer number (4630080).

Almost surely, 2125008380 is an apocalyptic number.

125008380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125008380 is an abundant number, since it is smaller than the sum of its proper divisors (319479300).

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

125008380 is a wasteful number, since it uses less digits than its factorization.

125008380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33096 (or 33088 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125008380 is about 11180.7146462111. The cubic root of 125008380 is about 500.0111730837.

The spelling of 125008380 in words is "one hundred twenty-five million, eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 33071 66142 99213 132284 165355 198426 231497 297639 330710 396852 462994 496065 595278 661420 694491 892917 925988 992130 1157485 1190556 1388982 1488195 1785834 1984260 2083473 2314970 2777964 2976390 3472455 3571668 4166946 4464585 4629940 5952780 6250419 6944910 8333892 8929170 10417365 12500838 13889820 17858340 20834730 25001676 31252095 41669460 62504190 125008380