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420630184 = 231321718301
BaseRepresentation
bin11001000100100…
…100111010101000
31002022111020010201
4121010210322220
51330140131214
6105423321544
713265204032
oct3104447250
91068436121
10420630184
111a6486757
12b8a502b4
13691b5800
143dc14c52
1526ddb274
hex19124ea8

420630184 has 48 divisors (see below), whose sum is σ = 904301820. Its totient is φ = 182707200.

The previous prime is 420630173. The next prime is 420630241. The reversal of 420630184 is 481036024.

It can be written as a sum of positive squares in 6 ways, for example, as 17825284 + 402804900 = 4222^2 + 20070^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13834 + ... + 32134.

Almost surely, 2420630184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420630184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452150910).

420630184 is an abundant number, since it is smaller than the sum of its proper divisors (483671636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420630184 is a wasteful number, since it uses less digits than its factorization.

420630184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 420630184 is about 20509.2706842540. The cubic root of 420630184 is about 749.2616045273.

The spelling of 420630184 in words is "four hundred twenty million, six hundred thirty thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2873 5746 11492 18301 22984 36602 73204 146408 237913 311117 475826 622234 951652 1244468 1903304 2488936 3092869 4044521 6185738 8089042 12371476 16178084 24742952 32356168 52578773 105157546 210315092 420630184