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420553314 = 23223364073
BaseRepresentation
bin11001000100010…
…010001001100010
31002022100022200200
4121010102021202
51330130201224
6105421530030
713264433646
oct3104221142
91068308620
10420553314
111a6433a25
12b8a13916
136918981c
143dbd4c26
1526dc35c9
hex19112262

420553314 has 12 divisors (see below), whose sum is σ = 911198886. Its totient is φ = 140184432.

The previous prime is 420553307. The next prime is 420553351. The reversal of 420553314 is 413355024.

It can be written as a sum of positive squares in only one way, i.e., 344288025 + 76265289 = 18555^2 + 8733^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11682019 + ... + 11682054.

Almost surely, 2420553314 is an apocalyptic number.

420553314 is an abundant number, since it is smaller than the sum of its proper divisors (490645572).

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

420553314 is a wasteful number, since it uses less digits than its factorization.

420553314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23364081 (or 23364078 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420553314 is about 20507.3965680678. The cubic root of 420553314 is about 749.2159593259.

It can be divided in two parts, 42055 and 3314, that added together give a square (45369 = 2132).

The spelling of 420553314 in words is "four hundred twenty million, five hundred fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23364073 46728146 70092219 140184438 210276657 420553314