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420275232 = 253213112253
BaseRepresentation
bin11001000011001…
…110010000100000
31002021211012020100
4121003032100200
51330042301412
6105411542400
713262165136
oct3103162040
91067735210
10420275232
111a6264003
12b88baa00
13690c0090
143db61756
1526d6aedc
hex190ce420

420275232 has 72 divisors (see below), whose sum is σ = 1287104364. Its totient is φ = 129314304.

The previous prime is 420275209. The next prime is 420275237. The reversal of 420275232 is 232572024.

420275232 is a `hidden beast` number, since 420 + 2 + 7 + 5 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358117776 + 62157456 = 18924^2 + 7884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 420275196 and 420275205.

It is not an unprimeable number, because it can be changed into a prime (420275237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52383 + ... + 59870.

Almost surely, 2420275232 is an apocalyptic number.

It is an amenable number.

420275232 is an abundant number, since it is smaller than the sum of its proper divisors (866829132).

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

420275232 is a wasteful number, since it uses less digits than its factorization.

420275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112282 (or 112271 counting only the distinct ones).

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

The square root of 420275232 is about 20500.6154053970. The cubic root of 420275232 is about 749.0507885035.

The spelling of 420275232 in words is "four hundred twenty million, two hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 112253 224506 336759 449012 673518 898024 1010277 1347036 1459289 1796048 2020554 2694072 2918578 3592096 4041108 4377867 5388144 5837156 8082216 8755734 10776288 11674312 13133601 16164432 17511468 23348624 26267202 32328864 35022936 46697248 52534404 70045872 105068808 140091744 210137616 420275232