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540874940 = 225297191297
BaseRepresentation
bin100000001111010…
…001100010111100
31101200202021221012
4200033101202330
52101430444230
6125400454352
716255234604
oct4017214274
91350667835
10540874940
11258345391
1213117a3b8
1388096c58
1451b95c04
153273e395
hex203d18bc

540874940 has 48 divisors (see below), whose sum is σ = 1177545600. Its totient is φ = 208438272.

The previous prime is 540874937. The next prime is 540874967. The reversal of 540874940 is 49478045.

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, 416372 + ... + 417668.

It is an arithmetic number, because the mean of its divisors is an integer number (24532200).

Almost surely, 2540874940 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 540874940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588772800).

540874940 is an abundant number, since it is smaller than the sum of its proper divisors (636670660).

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

540874940 is a wasteful number, since it uses less digits than its factorization.

540874940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 540874940 is about 23256.7181691657. The cubic root of 540874940 is about 814.7648536865.

The spelling of 540874940 in words is "five hundred forty million, eight hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 719 1297 1438 2594 2876 3595 5188 6485 7190 12970 14380 20851 25940 37613 41702 75226 83404 104255 150452 188065 208510 376130 417020 752260 932543 1865086 3730172 4662715 9325430 18650860 27043747 54087494 108174988 135218735 270437470 540874940