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420433536 = 2732115189
BaseRepresentation
bin11001000011110…
…100111010000000
31002022010020101110
4121003310322000
51330112333121
6105415203320
713263424515
oct3103647200
91068106343
10420433536
111a6361a36
12b8976540
1369147153
143dba330c
1526d9cd76
hex190f4e80

420433536 has 64 divisors (see below), whose sum is σ = 1122285600. Its totient is φ = 139453440.

The previous prime is 420433523. The next prime is 420433543. The reversal of 420433536 is 635334024.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78430 + ... + 83618.

Almost surely, 2420433536 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 420433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561142800).

420433536 is an abundant number, since it is smaller than the sum of its proper divisors (701852064).

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

420433536 is a wasteful number, since it uses less digits than its factorization.

420433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 420433536 is about 20504.4759991569. The cubic root of 420433536 is about 749.1448243813.

The spelling of 420433536 in words is "four hundred twenty million, four hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2532 3376 5064 5189 6752 10128 10378 13504 15567 20256 20756 27008 31134 40512 41512 62268 81024 83024 124536 166048 249072 332096 498144 664192 996288 1094879 1992576 2189758 3284637 4379516 6569274 8759032 13138548 17518064 26277096 35036128 52554192 70072256 105108384 140144512 210216768 420433536