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4130016 = 253113911
BaseRepresentation
bin1111110000010011100000
321202211022120
433300103200
52024130031
6224304240
750050602
oct17602340
97684276
104130016
112370a40
121472080
13b17ac7
14797172
15568a96
hex3f04e0

4130016 has 48 divisors (see below), whose sum is σ = 11829888. Its totient is φ = 1251200.

The previous prime is 4130003. The next prime is 4130023. The reversal of 4130016 is 6100314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4129977 and 4130004.

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, 900 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (246456).

Almost surely, 24130016 is an apocalyptic number.

It is an amenable number.

4130016 is an abundant number, since it is smaller than the sum of its proper divisors (7699872).

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

4130016 is a wasteful number, since it uses less digits than its factorization.

4130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4130016 is about 2032.2440798290. The cubic root of 4130016 is about 160.4416961976.

The spelling of 4130016 in words is "four million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3911 7822 11733 15644 23466 31288 43021 46932 62576 86042 93864 125152 129063 172084 187728 258126 344168 375456 516252 688336 1032504 1376672 2065008 4130016