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4130208 = 253214341
BaseRepresentation
bin1111110000010110100000
321202211120200
433300112200
52024131313
6224305200
750051265
oct17602640
97684520
104130208
1123710a5
121472200
13b17c14
1479726c
15568b73
hex3f05a0

4130208 has 36 divisors (see below), whose sum is σ = 11746098. Its totient is φ = 1376640.

The previous prime is 4130207. The next prime is 4130213. The reversal of 4130208 is 8020314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4112784 + 17424 = 2028^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4130207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6883 + ... + 7458.

Almost surely, 24130208 is an apocalyptic number.

4130208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4130208 is an abundant number, since it is smaller than the sum of its proper divisors (7615890).

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

4130208 is a wasteful number, since it uses less digits than its factorization.

4130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357 (or 14346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4130208 is about 2032.2913177003. The cubic root of 4130208 is about 160.4441824130. Note that the first 3 decimals are identical.

The spelling of 4130208 in words is "four million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14341 28682 43023 57364 86046 114728 129069 172092 229456 258138 344184 458912 516276 688368 1032552 1376736 2065104 4130208