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405160427 = 7197938561
BaseRepresentation
bin11000001001100…
…100000111101011
31001020101021121202
4120021210013223
51312210113202
6104111554415
713016543510
oct3011440753
91036337552
10405160427
11198780031
12b382ba0b
1365c2a3c9
143bb49307
1525882802
hex182641eb

405160427 has 16 divisors (see below), whose sum is σ = 493593600. Its totient is φ = 324829440.

The previous prime is 405160423. The next prime is 405160463. The reversal of 405160427 is 724061504.

It is a cyclic number.

It is not a de Polignac number, because 405160427 - 22 = 405160423 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405160427.

It is not an unprimeable number, because it can be changed into a prime (405160423) by changing a digit.

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, 8774 + ... + 29787.

It is an arithmetic number, because the mean of its divisors is an integer number (30849600).

Almost surely, 2405160427 is an apocalyptic number.

405160427 is a deficient number, since it is larger than the sum of its proper divisors (88433173).

405160427 is a wasteful number, since it uses less digits than its factorization.

405160427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38666.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 405160427 is about 20128.5972437227. The cubic root of 405160427 is about 739.9613000214.

The spelling of 405160427 in words is "four hundred five million, one hundred sixty thousand, four hundred twenty-seven".

Divisors: 1 7 19 79 133 553 1501 10507 38561 269927 732659 3046319 5128613 21324233 57880061 405160427