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41000180 = 225131031531
BaseRepresentation
bin1001110001100…
…1110011110100
32212011000200012
42130121303310
540444001210
64022435352
71005332024
oct234316364
985130605
1041000180
1121164051
1211892b58
138656b80
145633a84
1538ed305
hex2719cf4

41000180 has 48 divisors (see below), whose sum is σ = 93684864. Its totient is φ = 14981760.

The previous prime is 41000177. The next prime is 41000203. The reversal of 41000180 is 8100014.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26015 + ... + 27545.

It is an arithmetic number, because the mean of its divisors is an integer number (1951768).

Almost surely, 241000180 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 41000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46842432).

41000180 is an abundant number, since it is smaller than the sum of its proper divisors (52684684).

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

41000180 is a wasteful number, since it uses less digits than its factorization.

41000180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 41000180 is about 6403.1382930560. The cubic root of 41000180 is about 344.8222286547.

Adding to 41000180 its reverse (8100014), we get a palindrome (49100194).

The spelling of 41000180 in words is "forty-one million, one hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 1030 1339 1531 2060 2678 3062 5356 6124 6695 7655 13390 15310 19903 26780 30620 39806 79612 99515 157693 199030 315386 398060 630772 788465 1576930 2050009 3153860 4100018 8200036 10250045 20500090 41000180