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540301409 = 5971128981
BaseRepresentation
bin100000001101000…
…101100001100001
31101122200011012022
4200031011201201
52101304121114
6125340311225
716250325524
oct4015054141
91348604168
10540301409
11257a9349a
12130b42515
1387c25b9b
1451a86bbb
153267948e
hex20345861

540301409 has 8 divisors (see below), whose sum is σ = 557202240. Its totient is φ = 523658800.

The previous prime is 540301393. The next prime is 540301439. The reversal of 540301409 is 904103045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540301409 - 24 = 540301393 is a prime.

It is a super-2 number, since 2×5403014092 = 583851225134770562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540301439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60302 + ... + 68679.

It is an arithmetic number, because the mean of its divisors is an integer number (69650280).

Almost surely, 2540301409 is an apocalyptic number.

540301409 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

540301409 is a deficient number, since it is larger than the sum of its proper divisors (16900831).

540301409 is a wasteful number, since it uses less digits than its factorization.

540301409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129111.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 540301409 is about 23244.3844616286. The cubic root of 540301409 is about 814.4767660388.

The spelling of 540301409 in words is "five hundred forty million, three hundred one thousand, four hundred nine".

Divisors: 1 59 71 4189 128981 7609879 9157651 540301409