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470020727 = 11194759811
BaseRepresentation
bin11100000000111…
…111001001110111
31012202102112020002
4130000333021313
51430311130402
6114350101515
714435052551
oct3400771167
91182375202
10470020727
11221350590
121114aa89b
13764b9697
14465d04d1
152b3e5602
hex1c03f277

470020727 has 32 divisors (see below), whose sum is σ = 561254400. Its totient is φ = 388994400.

The previous prime is 470020723. The next prime is 470020757. The reversal of 470020727 is 727020074.

It is a cyclic number.

It is not a de Polignac number, because 470020727 - 22 = 470020723 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 470020727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470020723) 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, 579152 + ... + 579962.

It is an arithmetic number, because the mean of its divisors is an integer number (17539200).

Almost surely, 2470020727 is an apocalyptic number.

470020727 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

470020727 is a deficient number, since it is larger than the sum of its proper divisors (91233673).

470020727 is a wasteful number, since it uses less digits than its factorization.

470020727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 470020727 is about 21679.9614160173. The cubic root of 470020727 is about 777.5094387870.

It can be divided in two parts, 4700 and 20727, that multiplied together give a square (97416900 = 98702).

The spelling of 470020727 in words is "four hundred seventy million, twenty thousand, seven hundred twenty-seven".

Divisors: 1 11 19 47 59 209 517 649 811 893 1121 2773 8921 9823 12331 15409 30503 38117 47849 52687 169499 419287 526339 579557 724223 909131 2248903 7966453 10000441 24737933 42729157 470020727