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420004024 = 231113213613
BaseRepresentation
bin11001000010001…
…100000010111000
31002021022102012121
4121002030002320
51330010112044
6105402051024
713256655346
oct3102140270
91067272177
10420004024
111a6099270
12b87a9a74
13690267bb
143dad0996
1526d15984
hex1908c0b8

420004024 has 32 divisors (see below), whose sum is σ = 859987440. Its totient is φ = 190713600.

The previous prime is 420004009. The next prime is 420004033. The reversal of 420004024 is 420400024.

It is a junction number, because it is equal to n+sod(n) for n = 420003989 and 420004007.

It is a congruent number.

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, 114442 + ... + 118054.

Almost surely, 2420004024 is an apocalyptic number.

420004024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420004024 is an abundant number, since it is smaller than the sum of its proper divisors (439983416).

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

420004024 is a wasteful number, since it uses less digits than its factorization.

420004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420004024 is about 20493.9997072314. Note that the first 3 decimals coincide. The cubic root of 420004024 is about 748.8896303985.

Adding to 420004024 its reverse (420400024), we get a palindrome (840404048).

The spelling of 420004024 in words is "four hundred twenty million, four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 1321 2642 3613 5284 7226 10568 14452 14531 28904 29062 39743 58124 79486 116248 158972 317944 4772773 9545546 19091092 38182184 52500503 105001006 210002012 420004024