Search a number
-
+
41146420 = 2257833541
BaseRepresentation
bin1001110011110…
…1100000110100
32212102110021111
42130331200310
541013141140
64025524404
71006511260
oct234754064
985373244
1041146420
1121253a07
1211943704
1386a85c3
1456710a0
15392b7ea
hex273d834

41146420 has 48 divisors (see below), whose sum is σ = 99969408. Its totient is φ = 13933440.

The previous prime is 41146397. The next prime is 41146421. The reversal of 41146420 is 2464114.

41146420 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 = 41146391 and 41146400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41146421) 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 15 ways as a sum of consecutive naturals, for example, 9850 + ... + 13390.

It is an arithmetic number, because the mean of its divisors is an integer number (2082696).

Almost surely, 241146420 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 41146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49984704).

41146420 is an abundant number, since it is smaller than the sum of its proper divisors (58822988).

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

41146420 is a wasteful number, since it uses less digits than its factorization.

41146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 41146420 is about 6414.5475288597. The cubic root of 41146420 is about 345.2317143928.

The spelling of 41146420 in words is "forty-one million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 3541 5810 7082 11620 14164 17705 24787 35410 49574 70820 99148 123935 247870 293903 495740 587806 1175612 1469515 2057321 2939030 4114642 5878060 8229284 10286605 20573210 41146420