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420407523 = 33311493371
BaseRepresentation
bin11001000011101…
…110100011100011
31002022001220201000
4121003232203203
51330111020043
6105414443043
713263255624
oct3103564343
91068056630
10420407523
111a6344438
12b8963483
1369138363
143db97a4b
1526d952d3
hex190ee8e3

420407523 has 32 divisors (see below), whose sum is σ = 647424000. Its totient is φ = 269330400.

The previous prime is 420407521. The next prime is 420407531. The reversal of 420407523 is 325704024.

It is not a de Polignac number, because 420407523 - 21 = 420407521 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (420407521) 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, 123028 + ... + 126398.

It is an arithmetic number, because the mean of its divisors is an integer number (20232000).

Almost surely, 2420407523 is an apocalyptic number.

420407523 is a deficient number, since it is larger than the sum of its proper divisors (227016477).

420407523 is a wasteful number, since it uses less digits than its factorization.

420407523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 420407523 is about 20503.8416644296. The cubic root of 420407523 is about 749.1293737376.

The spelling of 420407523 in words is "four hundred twenty million, four hundred seven thousand, five hundred twenty-three".

Divisors: 1 3 9 27 31 93 149 279 447 837 1341 3371 4023 4619 10113 13857 30339 41571 91017 104501 124713 313503 502279 940509 1506837 2821527 4520511 13561533 15570649 46711947 140135841 420407523