Search a number
-
+
125007036 = 22373112251
BaseRepresentation
bin1110111001101…
…11010010111100
322201020000102020
413130313102330
5224000211121
620223200140
73045354000
oct734672274
9281200366
10125007036
1164621700
1235a46050
131cb8ac7b
1412860700
15ae941c6
hex77374bc

125007036 has 144 divisors (see below), whose sum is σ = 375379200. Its totient is φ = 32340000.

The previous prime is 125007013. The next prime is 125007037. The reversal of 125007036 is 630700521.

It is a junction number, because it is equal to n+sod(n) for n = 125006997 and 125007015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125007037) 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 47 ways as a sum of consecutive naturals, for example, 497911 + ... + 498161.

It is an arithmetic number, because the mean of its divisors is an integer number (2606800).

Almost surely, 2125007036 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 125007036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689600).

125007036 is an abundant number, since it is smaller than the sum of its proper divisors (250372164).

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

125007036 is a wasteful number, since it uses less digits than its factorization.

125007036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 125007036 is about 11180.6545425570. The cubic root of 125007036 is about 500.0093811573.

Adding to 125007036 its reverse (630700521), we get a palindrome (755707557).

The spelling of 125007036 in words is "one hundred twenty-five million, seven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 251 294 308 343 363 462 484 502 539 588 686 726 753 847 924 1004 1029 1078 1372 1452 1506 1617 1694 1757 2058 2156 2541 2761 3012 3234 3388 3514 3773 4116 5082 5271 5522 5929 6468 7028 7546 8283 10164 10542 11044 11319 11858 12299 15092 16566 17787 19327 21084 22638 23716 24598 30371 33132 35574 36897 38654 41503 45276 49196 57981 60742 71148 73794 77308 83006 86093 91113 115962 121484 124509 135289 147588 166012 172186 182226 212597 231924 249018 258279 270578 344372 364452 405867 425194 498036 516558 541156 637791 811734 850388 947023 1033116 1275582 1488179 1623468 1894046 2551164 2841069 2976358 3788092 4464537 5682138 5952716 8929074 10417253 11364276 17858148 20834506 31251759 41669012 62503518 125007036