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420805416 = 233148111839
BaseRepresentation
bin11001000101001…
…111101100101000
31002022211010111210
4121011033230220
51330211233131
6105431153120
713266533643
oct3105175450
91068733453
10420805416
111a6596379
12b8b157a0
13692474b5
143dc5ca5a
1526e23146
hex1914fb28

420805416 has 32 divisors (see below), whose sum is σ = 1052812800. Its totient is φ = 140161920.

The previous prime is 420805391. The next prime is 420805481. The reversal of 420805416 is 614508024.

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, 29625 + ... + 41463.

It is an arithmetic number, because the mean of its divisors is an integer number (32900400).

Almost surely, 2420805416 is an apocalyptic number.

It is an amenable number.

420805416 is an abundant number, since it is smaller than the sum of its proper divisors (632007384).

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

420805416 is a wasteful number, since it uses less digits than its factorization.

420805416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329 (or 13325 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420805416 is about 20513.5422587129. The cubic root of 420805416 is about 749.3656360389.

The spelling of 420805416 in words is "four hundred twenty million, eight hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 1481 2962 4443 5924 8886 11839 11848 17772 23678 35517 35544 47356 71034 94712 142068 284136 17533559 35067118 52600677 70134236 105201354 140268472 210402708 420805416