Search a number
-
+
130542426 = 232719311759
BaseRepresentation
bin1111100011111…
…10101101011010
3100002122020112200
413301332231122
5231404324201
620541551030
73143410110
oct761765532
9302566480
10130542426
1167762503
1237875476
1321078651
14134a1ab0
15b6d9386
hex7c7eb5a

130542426 has 96 divisors (see below), whose sum is σ = 351436800. Its totient is φ = 34175520.

The previous prime is 130542413. The next prime is 130542437. The reversal of 130542426 is 624245031.

It is a self number, because there is not a number n which added to its sum of digits gives 130542426.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73335 + ... + 75093.

It is an arithmetic number, because the mean of its divisors is an integer number (3660800).

Almost surely, 2130542426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130542426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175718400).

130542426 is an abundant number, since it is smaller than the sum of its proper divisors (220894374).

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

130542426 is a wasteful number, since it uses less digits than its factorization.

130542426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130542426 is about 11425.5164434699. The cubic root of 130542426 is about 507.2832934695.

Adding to 130542426 its reverse (624245031), we get a palindrome (754787457).

The spelling of 130542426 in words is "one hundred thirty million, five hundred forty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1759 1767 1953 2394 3518 3534 3906 4123 5277 5301 8246 10554 10602 12313 12369 15831 24626 24738 31662 33421 36939 37107 54529 66842 73878 74214 100263 109058 110817 163587 200526 221634 233947 300789 327174 381703 467894 490761 601578 701841 763406 981522 1036051 1145109 1403682 2072102 2105523 2290218 3108153 3435327 4211046 6216306 6870654 7252357 9324459 14504714 18648918 21757071 43514142 65271213 130542426