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BaseRepresentation
bin100000010011010…
…111000110000000
31101202202201110222
4200103113012000
52102214234430
6125435442212
716300316123
oct4023270600
91352681428
10541946240
11258a07260
121315b6368
1388380764
1451d943ba
15328a19e5
hex204d7180

541946240 has 128 divisors (see below), whose sum is σ = 1475262720. Its totient is φ = 188446720.

The previous prime is 541946239. The next prime is 541946303. The reversal of 541946240 is 42649145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a partition number, being equal to the number of ways a set of 109 identical objects can be partitioned into subset.

It is a self number, because there is not a number n which added to its sum of digits gives 541946240.

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, 160247 + ... + 163593.

It is an arithmetic number, because the mean of its divisors is an integer number (11525490).

Almost surely, 2541946240 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 541946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737631360).

541946240 is an abundant number, since it is smaller than the sum of its proper divisors (933316480).

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

541946240 is a wasteful number, since it uses less digits than its factorization.

541946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 541946240 is about 23279.7388301501. The cubic root of 541946240 is about 815.3024283165.

The spelling of 541946240 in words is "five hundred forty-one million, nine hundred forty-six thousand, two hundred forty".