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46106130 = 23571811213
BaseRepresentation
bin1010111111100…
…0011000010010
310012202102201110
42233320120102
543300344010
64324114150
71066616130
oct257703022
9105672643
1046106130
1124031244
1213535956
139723c45
1461a2750
1540ab120
hex2bf8612

46106130 has 64 divisors (see below), whose sum is σ = 127266048. Its totient is φ = 10471680.

The previous prime is 46106129. The next prime is 46106149. The reversal of 46106130 is 3160164.

46106130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 46106097 and 46106106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37404 + ... + 38616.

It is an arithmetic number, because the mean of its divisors is an integer number (1988532).

Almost surely, 246106130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46106130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63633024).

46106130 is an abundant number, since it is smaller than the sum of its proper divisors (81159918).

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

46106130 is a wasteful number, since it uses less digits than its factorization.

46106130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 46106130 is about 6790.1494828906. The cubic root of 46106130 is about 358.5801326060.

Adding to 46106130 its reverse (3160164), we get a palindrome (49266294).

The spelling of 46106130 in words is "forty-six million, one hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 181 210 362 543 905 1086 1213 1267 1810 2426 2534 2715 3639 3801 5430 6065 6335 7278 7602 8491 12130 12670 16982 18195 19005 25473 36390 38010 42455 50946 84910 127365 219553 254730 439106 658659 1097765 1317318 1536871 2195530 3073742 3293295 4610613 6586590 7684355 9221226 15368710 23053065 46106130