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420242312 = 23717736047
BaseRepresentation
bin11001000011000…
…110001110001000
31002021202112002002
4121003012032020
51330040223222
6105411130132
713262000150
oct3103061610
91067675062
10420242312
111a62412a6
12b88a3948
13690ab0b9
143db53760
1526d61392
hex190c6388

420242312 has 64 divisors (see below), whose sum is σ = 966712320. Its totient is φ = 167159808.

The previous prime is 420242297. The next prime is 420242321. The reversal of 420242312 is 213242024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66473 + ... + 72519.

It is an arithmetic number, because the mean of its divisors is an integer number (15104880).

Almost surely, 2420242312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483356160).

420242312 is an abundant number, since it is smaller than the sum of its proper divisors (546470008).

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

420242312 is a wasteful number, since it uses less digits than its factorization.

420242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 420242312 is about 20499.8124869473. The cubic root of 420242312 is about 749.0312303712.

Adding to 420242312 its reverse (213242024), we get a palindrome (633484336).

The spelling of 420242312 in words is "four hundred twenty million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2044 2482 4088 4964 6047 8687 9928 12094 17374 24188 34748 42329 48376 69496 84658 102799 169316 205598 338632 411196 441431 719593 822392 882862 1439186 1765724 2878372 3090017 3531448 5756744 6180034 7504327 12360068 15008654 24720136 30017308 52530289 60034616 105060578 210121156 420242312