Search a number
-
+
420737814 = 2347253003
BaseRepresentation
bin11001000100111…
…111001100010110
31002022200200210000
4121010333030112
51330202102224
6105425512130
713266132600
oct3104771426
91068620700
10420737814
111a654a602
12b8aa2646
13692227b3
143dc42170
1526e0d0c9
hex1913f316

420737814 has 60 divisors (see below), whose sum is σ = 1096705764. Its totient is φ = 120208536.

The previous prime is 420737813. The next prime is 420737819. The reversal of 420737814 is 418737024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420737813) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18564 + ... + 34439.

Almost surely, 2420737814 is an apocalyptic number.

420737814 is an abundant number, since it is smaller than the sum of its proper divisors (675967950).

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

420737814 is a wasteful number, since it uses less digits than its factorization.

420737814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53031 (or 53015 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 420737814 is about 20511.8944517565. The cubic root of 420737814 is about 749.3255055916.

The spelling of 420737814 in words is "four hundred twenty million, seven hundred thirty-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 53003 106006 159009 318018 371021 477027 742042 954054 1113063 1431081 2226126 2597147 2862162 3339189 4293243 5194294 6678378 7791441 8586486 10017567 15582882 20035134 23374323 30052701 46748646 60105402 70122969 140245938 210368907 420737814