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541974240 = 25345193171
BaseRepresentation
bin100000010011011…
…101111011100000
31101202211010220000
4200103131323200
52102221133430
6125440220000
716300463553
oct4023357340
91352733800
10541974240
11258a262a5
1213160a600
1388390422
1451da069a
15328a9e60
hex204ddee0

541974240 has 480 divisors, whose sum is σ = 2107607040. Its totient is φ = 130636800.

The previous prime is 541974233. The next prime is 541974253. The reversal of 541974240 is 42479145.

It is a happy number.

541974240 is a `hidden beast` number, since 541 + 9 + 74 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 541974195 and 541974204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7633405 + ... + 7633475.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2541974240 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 541974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

541974240 is an abundant number, since it is smaller than the sum of its proper divisors (1565632800).

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

541974240 is a wasteful number, since it uses less digits than its factorization.

541974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 541974240 is about 23280.3402036998. The cubic root of 541974240 is about 815.3164691156.

The spelling of 541974240 in words is "five hundred forty-one million, nine hundred seventy-four thousand, two hundred forty".