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420081704 = 2373295279
BaseRepresentation
bin11001000010011…
…111000000101000
31002021110100202122
4121002133000220
51330020103304
6105403450412
713260431000
oct3102370050
91067410678
10420081704
111a6141669
12b8826a08
1369052c73
143db11000
1526d2d9be
hex1909f028

420081704 has 64 divisors (see below), whose sum is σ = 950400000. Its totient is φ = 173793984.

The previous prime is 420081671. The next prime is 420081709. The reversal of 420081704 is 407180024.

It is not an unprimeable number, because it can be changed into a prime (420081709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76937 + ... + 82215.

It is an arithmetic number, because the mean of its divisors is an integer number (14850000).

Almost surely, 2420081704 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 420081704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200000).

420081704 is an abundant number, since it is smaller than the sum of its proper divisors (530318296).

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

420081704 is a wasteful number, since it uses less digits than its factorization.

420081704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 420081704 is about 20495.8948084732. The cubic root of 420081704 is about 748.9357967502.

The spelling of 420081704 in words is "four hundred twenty million, eighty-one thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 343 392 406 686 812 1372 1421 1624 2744 2842 5279 5684 9947 10558 11368 19894 21116 36953 39788 42232 73906 79576 147812 153091 258671 295624 306182 517342 612364 1034684 1071637 1224728 1810697 2069368 2143274 3621394 4286548 7242788 7501459 8573096 14485576 15002918 30005836 52510213 60011672 105020426 210040852 420081704