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420198768 = 243211265277
BaseRepresentation
bin11001000010111…
…011100101110000
31002021200022100100
4121002323211300
51330032330033
6105410152400
713261426203
oct3102734560
91067608310
10420198768
111a6211610
12b8882700
1369094332
143db4193a
1526d53513
hex190bb970

420198768 has 60 divisors (see below), whose sum is σ = 1282884408. Its totient is φ = 127332480.

The previous prime is 420198761. The next prime is 420198773. The reversal of 420198768 is 867891024.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420198761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131055 + ... + 134222.

Almost surely, 2420198768 is an apocalyptic number.

420198768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420198768 is an abundant number, since it is smaller than the sum of its proper divisors (862685640).

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

420198768 is a wasteful number, since it uses less digits than its factorization.

420198768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265302 (or 265293 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 420198768 is about 20498.7504009391. The cubic root of 420198768 is about 749.0053588351.

The spelling of 420198768 in words is "four hundred twenty million, one hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 265277 530554 795831 1061108 1591662 2122216 2387493 2918047 3183324 4244432 4774986 5836094 6366648 8754141 9549972 11672188 12733296 17508282 19099944 23344376 26262423 35016564 38199888 46688752 52524846 70033128 105049692 140066256 210099384 420198768