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420423536 = 24132418387
BaseRepresentation
bin11001000011110…
…010011101110000
31002022002201200002
4121003302131300
51330112023121
6105415045132
713263353411
oct3103623560
91068081602
10420423536
111a6355475
12b89707a8
1369142730
143db9d808
1526d99e0b
hex190f2770

420423536 has 40 divisors (see below), whose sum is σ = 880974864. Its totient is φ = 193213440.

The previous prime is 420423533. The next prime is 420423551. The reversal of 420423536 is 635324024.

It is a junction number, because it is equal to n+sod(n) for n = 420423499 and 420423508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420423533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45935 + ... + 54321.

Almost surely, 2420423536 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 420423536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440487432).

420423536 is an abundant number, since it is smaller than the sum of its proper divisors (460551328).

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

420423536 is a wasteful number, since it uses less digits than its factorization.

420423536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 420423536 is about 20504.2321485102. The cubic root of 420423536 is about 749.1388848712.

The spelling of 420423536 in words is "four hundred twenty million, four hundred twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1928 3133 3856 6266 8387 12532 16774 25064 33548 50128 67096 109031 134192 218062 436124 872248 1744496 2021267 4042534 8085068 16170136 26276471 32340272 52552942 105105884 210211768 420423536