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420538704 = 24319479811
BaseRepresentation
bin11001000100001…
…110100101010000
31002022022120122120
4121010032211100
51330124214304
6105421334240
713264343235
oct3104164520
91068276576
10420538704
111a6423a53
12b8a07380
1369182c91
143dbcd78c
1526dbe0d9
hex1910e950

420538704 has 80 divisors (see below), whose sum is σ = 1168020480. Its totient is φ = 129962880.

The previous prime is 420538687. The next prime is 420538709. The reversal of 420538704 is 407835024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420538709) 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, 37959 + ... + 47769.

It is an arithmetic number, because the mean of its divisors is an integer number (14600256).

Almost surely, 2420538704 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 420538704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584010240).

420538704 is an abundant number, since it is smaller than the sum of its proper divisors (747481776).

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

420538704 is a wasteful number, since it uses less digits than its factorization.

420538704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 420538704 is about 20507.0403520352. The cubic root of 420538704 is about 749.2072833178.

The spelling of 420538704 in words is "four hundred twenty million, five hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 376 456 564 752 893 912 1128 1786 2256 2679 3572 5358 7144 9811 10716 14288 19622 21432 29433 39244 42864 58866 78488 117732 156976 186409 235464 372818 461117 470928 559227 745636 922234 1118454 1383351 1491272 1844468 2236908 2766702 2982544 3688936 4473816 5533404 7377872 8761223 8947632 11066808 17522446 22133616 26283669 35044892 52567338 70089784 105134676 140179568 210269352 420538704