[go: up one dir, main page]

Search a number
-
+
540453141 = 354779599
BaseRepresentation
bin100000001101101…
…010100100010101
31101122221212100000
4200031222210111
52101324000031
6125343441513
716251530064
oct4015524425
91348855300
10540453141
11258087498
12130bb6299
1387c79c77
1451ac61db
15326a93e6
hex2036a915

540453141 has 48 divisors (see below), whose sum is σ = 838656000. Its totient is φ = 347591088.

The previous prime is 540453131. The next prime is 540453143. The reversal of 540453141 is 141354045.

It is a happy number.

It is not a de Polignac number, because 540453141 - 27 = 540453013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540453143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901960 + ... + 902558.

It is an arithmetic number, because the mean of its divisors is an integer number (17472000).

Almost surely, 2540453141 is an apocalyptic number.

It is an amenable number.

540453141 is a deficient number, since it is larger than the sum of its proper divisors (298202859).

540453141 is an equidigital number, since it uses as much as digits as its factorization.

540453141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540453141 is about 23247.6480745903. The cubic root of 540453141 is about 814.5530016485.

The spelling of 540453141 in words is "five hundred forty million, four hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 47 79 81 141 237 243 423 599 711 1269 1797 2133 3713 3807 5391 6399 11139 11421 16173 19197 28153 33417 47321 48519 84459 100251 141963 145557 253377 300753 425889 760131 902259 1277667 2224087 2280393 3833001 6672261 6841179 11499003 20016783 60050349 180151047 540453141