Search a number
-
+
46232120 = 23511179587
BaseRepresentation
bin1011000001011…
…1001000111000
310012222211112202
42300113020320
543313411440
64330525332
71100652344
oct260271070
9105884482
1046232120
1124107970
1213596848
1397693ac
1461d6624
1540d3615
hex2c17238

46232120 has 64 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 16689280.

The previous prime is 46232117. The next prime is 46232159. The reversal of 46232120 is 2123264.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 46232092 and 46232101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78467 + ... + 79053.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 246232120 is an apocalyptic number.

46232120 is a gapful number since it is divisible by the number (40) 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 46232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

46232120 is an abundant number, since it is smaller than the sum of its proper divisors (68075080).

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

46232120 is a wasteful number, since it uses less digits than its factorization.

46232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46232120 is about 6799.4205635480. The cubic root of 46232120 is about 358.9064552479.

Adding to 46232120 its reverse (2123264), we get a palindrome (48355384).

The spelling of 46232120 in words is "forty-six million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 587 716 895 1174 1432 1790 1969 2348 2935 3580 3938 4696 5870 6457 7160 7876 9845 11740 12914 15752 19690 23480 25828 32285 39380 51656 64570 78760 105073 129140 210146 258280 420292 525365 840584 1050730 1155803 2101460 2311606 4202920 4623212 5779015 9246424 11558030 23116060 46232120