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420703764 = 2231323373169
BaseRepresentation
bin11001000100110…
…110111000010100
31002022121222001220
4121010312320110
51330200010024
6105425050340
713265631405
oct3104667024
91068558056
10420703764
111a6526a68
12b8a869b0
1369210150
143dc339ac
1526e02e79
hex19136e14

420703764 has 96 divisors (see below), whose sum is σ = 1133287680. Its totient is φ = 120434688.

The previous prime is 420703729. The next prime is 420703769. The reversal of 420703764 is 467307024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420703769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131172 + ... + 134340.

It is an arithmetic number, because the mean of its divisors is an integer number (11805080).

Almost surely, 2420703764 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 420703764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566643840).

420703764 is an abundant number, since it is smaller than the sum of its proper divisors (712583916).

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

420703764 is a wasteful number, since it uses less digits than its factorization.

420703764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 420703764 is about 20511.0644287419. The cubic root of 420703764 is about 749.3052909266.

The spelling of 420703764 in words is "four hundred twenty million, seven hundred three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 37 39 46 52 69 74 78 92 111 138 148 156 222 276 299 444 481 598 851 897 962 1196 1443 1702 1794 1924 2553 2886 3169 3404 3588 5106 5772 6338 9507 10212 11063 12676 19014 22126 33189 38028 41197 44252 66378 72887 82394 117253 123591 132756 145774 164788 218661 234506 247182 291548 351759 437322 469012 494364 703518 874644 947531 1407036 1524289 1895062 2696819 2842593 3048578 3790124 4572867 5393638 5685186 6097156 8090457 9145734 10787276 11370372 16180914 18291468 32361828 35058647 70117294 105175941 140234588 210351882 420703764