Search a number
-
+
41284120 = 2352294507
BaseRepresentation
bin1001110101111…
…1001000011000
32212200110011111
42131133020120
541032042440
64032510104
71010623603
oct235371030
985613144
1041284120
1121338409
12119ab334
138726197
1456a933a
1539574ea
hex275f218

41284120 has 32 divisors (see below), whose sum is σ = 93315600. Its totient is φ = 16437888.

The previous prime is 41284099. The next prime is 41284123. The reversal of 41284120 is 2148214.

41284120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41284091 and 41284100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41284123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6907 + ... + 11413.

Almost surely, 241284120 is an apocalyptic number.

41284120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41284120 is an abundant number, since it is smaller than the sum of its proper divisors (52031480).

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

41284120 is a wasteful number, since it uses less digits than its factorization.

41284120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 41284120 is about 6425.2719786792. The cubic root of 41284120 is about 345.6164013635.

The spelling of 41284120 in words is "forty-one million, two hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4507 4580 9014 9160 18028 22535 36056 45070 90140 180280 1032103 2064206 4128412 5160515 8256824 10321030 20642060 41284120