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541345420 = 2257111572239
BaseRepresentation
bin100000010001000…
…100011010001100
31101201122012022101
4200101010122030
52102041023140
6125414524444
716262234350
oct4021043214
91351565271
10541345420
11258636910
12131366724
1388200145
1451c79460
15327d399a
hex2044468c

541345420 has 96 divisors (see below), whose sum is σ = 1427005440. Its totient is φ = 167581440.

The previous prime is 541345351. The next prime is 541345429. The reversal of 541345420 is 24543145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (541345429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240661 + ... + 242899.

It is an arithmetic number, because the mean of its divisors is an integer number (14864640).

Almost surely, 2541345420 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 541345420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713502720).

541345420 is an abundant number, since it is smaller than the sum of its proper divisors (885660020).

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

541345420 is a wasteful number, since it uses less digits than its factorization.

541345420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 541345420 is about 23266.8308972236. The cubic root of 541345420 is about 815.0010262574.

Adding to 541345420 its reverse (24543145), we get a palindrome (565888565).

The spelling of 541345420 in words is "five hundred forty-one million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 157 220 308 314 385 628 770 785 1099 1540 1570 1727 2198 2239 3140 3454 4396 4478 5495 6908 8635 8956 10990 11195 12089 15673 17270 21980 22390 24178 24629 31346 34540 44780 48356 49258 60445 62692 78365 98516 120890 123145 156730 172403 241780 246290 313460 344806 351523 492580 689612 703046 862015 1406092 1724030 1757615 2460661 3448060 3515230 3866753 4921322 7030460 7733506 9842644 12303305 15467012 19333765 24606610 27067271 38667530 49213220 54134542 77335060 108269084 135336355 270672710 541345420