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41204120 = 23573103137
BaseRepresentation
bin1001110100101…
…1100110011000
32212112101102112
42131023212120
541022012440
64031051452
71010141426
oct235134630
985471375
1041204120
11212932a1
1211970b88
1386c8949
145688116
15393d965
hex274b998

41204120 has 64 divisors (see below), whose sum is σ = 95584320. Its totient is φ = 15980544.

The previous prime is 41204117. The next prime is 41204123. The reversal of 41204120 is 2140214.

41204120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41204117) and next prime (41204123).

It is a junction number, because it is equal to n+sod(n) for n = 41204095 and 41204104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204123) 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, 300692 + ... + 300828.

It is an arithmetic number, because the mean of its divisors is an integer number (1493505).

Almost surely, 241204120 is an apocalyptic number.

41204120 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 41204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792160).

41204120 is an abundant number, since it is smaller than the sum of its proper divisors (54380200).

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

41204120 is a wasteful number, since it uses less digits than its factorization.

41204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 41204120 is about 6419.0435424602. The cubic root of 41204120 is about 345.3930128799.

Adding to 41204120 its reverse (2140214), we get a palindrome (43344334).

The spelling of 41204120 in words is "forty-one million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 103 137 146 206 274 292 365 412 515 548 584 685 730 824 1030 1096 1370 1460 2060 2740 2920 4120 5480 7519 10001 14111 15038 20002 28222 30076 37595 40004 50005 56444 60152 70555 75190 80008 100010 112888 141110 150380 200020 282220 300760 400040 564440 1030103 2060206 4120412 5150515 8240824 10301030 20602060 41204120