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541340040 = 233512735521
BaseRepresentation
bin100000010001000…
…011000110001000
31101201121220221010
4200101003012020
52102040340130
6125414443520
716262212563
oct4021030610
91351556833
10541340040
1125863286a
121313635a0
13881ca867
1451c774da
15327d20b0
hex20443188

541340040 has 64 divisors (see below), whose sum is σ = 1636853760. Its totient is φ = 143216640.

The previous prime is 541340021. The next prime is 541340053. The reversal of 541340040 is 40043145.

It is a junction number, because it is equal to n+sod(n) for n = 541339989 and 541340016.

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, 2521 + ... + 33000.

It is an arithmetic number, because the mean of its divisors is an integer number (25575840).

Almost surely, 2541340040 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 541340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818426880).

541340040 is an abundant number, since it is smaller than the sum of its proper divisors (1095513720).

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

541340040 is a wasteful number, since it uses less digits than its factorization.

541340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35662 (or 35658 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 541340040 is about 23266.7152817066. The cubic root of 541340040 is about 814.9983263669.

Adding to 541340040 its reverse (40043145), we get a palindrome (581383185).

The spelling of 541340040 in words is "five hundred forty-one million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 35521 71042 106563 142084 177605 213126 284168 355210 426252 532815 710420 852504 1065630 1420840 2131260 4262520 4511167 9022334 13533501 18044668 22555835 27067002 36089336 45111670 54134004 67667505 90223340 108268008 135335010 180446680 270670020 541340040