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20464416 = 2532710151
BaseRepresentation
bin100111000010…
…0001100100000
31102111200220100
41032010030200
520214330131
62010342400
7335642010
oct116041440
942450810
1020464416
1110608245
126a2aa00
13431692b
142a09c40
151be37e6
hex1384320

20464416 has 72 divisors (see below), whose sum is σ = 66515904. Its totient is φ = 5846400.

The previous prime is 20464391. The next prime is 20464417. The reversal of 20464416 is 61446402.

20464416 is a `hidden beast` number, since 2 + 0 + 4 + 644 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20464416.

It is not an unprimeable number, because it can be changed into a prime (20464417) 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, 3060 + ... + 7091.

It is an arithmetic number, because the mean of its divisors is an integer number (923832).

Almost surely, 220464416 is an apocalyptic number.

It is an amenable number.

20464416 is an abundant number, since it is smaller than the sum of its proper divisors (46051488).

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

20464416 is a wasteful number, since it uses less digits than its factorization.

20464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20464416 is about 4523.7612669105. The cubic root of 20464416 is about 273.5267373349.

It can be divided in two parts, 204 and 64416, that added together give a triangular number (64620 = T359).

The spelling of 20464416 in words is "twenty million, four hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10151 20302 30453 40604 60906 71057 81208 91359 121812 142114 162416 182718 213171 243624 284228 324832 365436 426342 487248 568456 639513 730872 852684 974496 1136912 1279026 1461744 1705368 2273824 2558052 2923488 3410736 5116104 6821472 10232208 20464416