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41000120 = 2357181809
BaseRepresentation
bin1001110001100…
…1110010111000
32212011000120222
42130121302320
540444000440
64022435212
71005331610
oct234316270
985130528
1041000120
1121163aa7
1211892b08
138656b35
145633a40
1538ed2b5
hex2719cb8

41000120 has 64 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 13962240.

The previous prime is 41000117. The next prime is 41000147. The reversal of 41000120 is 2100014.

41000120 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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 41000098 and 41000107.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 50276 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 241000120 is an apocalyptic number.

41000120 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 41000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

41000120 is an abundant number, since it is smaller than the sum of its proper divisors (65142280).

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

41000120 is a wasteful number, since it uses less digits than its factorization.

41000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41000120 is about 6403.1336078517. The cubic root of 41000120 is about 344.8220604494.

Adding to 41000120 its reverse (2100014), we get a palindrome (43100134).

The spelling of 41000120 in words is "forty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 809 905 1267 1448 1618 1810 2534 3236 3620 4045 5068 5663 6335 6472 7240 8090 10136 11326 12670 16180 22652 25340 28315 32360 45304 50680 56630 113260 146429 226520 292858 585716 732145 1025003 1171432 1464290 2050006 2928580 4100012 5125015 5857160 8200024 10250030 20500060 41000120