Search a number
-
+
541747340 = 225371574663
BaseRepresentation
bin100000010010100…
…110100010001100
31101202101121122022
4200102212202030
52102141403330
6125431305312
716265530211
oct4022464214
91352347568
10541747340
11258890882
1213151b238
1388311074
1451d41b08
1532862ae5
hex204a688c

541747340 has 48 divisors (see below), whose sum is σ = 1176111552. Its totient is φ = 209454336.

The previous prime is 541747321. The next prime is 541747343. The reversal of 541747340 is 43747145.

It is a self number, because there is not a number n which added to its sum of digits gives 541747340.

It is not an unprimeable number, because it can be changed into a prime (541747343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113849 + ... + 118511.

It is an arithmetic number, because the mean of its divisors is an integer number (24502324).

Almost surely, 2541747340 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 541747340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588055776).

541747340 is an abundant number, since it is smaller than the sum of its proper divisors (634364212).

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

541747340 is a wasteful number, since it uses less digits than its factorization.

541747340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 541747340 is about 23275.4664829730. The cubic root of 541747340 is about 815.2026745749.

The spelling of 541747340 in words is "five hundred forty-one million, seven hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 157 185 314 370 628 740 785 1570 3140 4663 5809 9326 11618 18652 23236 23315 29045 46630 58090 93260 116180 172531 345062 690124 732091 862655 1464182 1725310 2928364 3450620 3660455 7320910 14641820 27087367 54174734 108349468 135436835 270873670 541747340