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10420312 = 237732549
BaseRepresentation
bin100111110000…
…000001011000
3201121101222111
4213300001120
510131422222
61011202104
7154366630
oct47600130
921541874
1010420312
115977a31
1235a6334
13220ac86
1415536c0
15dac777
hex9f0058

10420312 has 32 divisors (see below), whose sum is σ = 22644000. Its totient is φ = 4402944.

The previous prime is 10420307. The next prime is 10420313. The reversal of 10420312 is 21302401.

It is a junction number, because it is equal to n+sod(n) for n = 10420292 and 10420301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2814 + ... + 5362.

It is an arithmetic number, because the mean of its divisors is an integer number (707625).

Almost surely, 210420312 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 10420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322000).

10420312 is an abundant number, since it is smaller than the sum of its proper divisors (12223688).

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

10420312 is a wasteful number, since it uses less digits than its factorization.

10420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10420312 is about 3228.0508050525. The cubic root of 10420312 is about 218.4205891488.

Adding to 10420312 its reverse (21302401), we get a palindrome (31722713).

The spelling of 10420312 in words is "ten million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 2549 4088 5098 10196 17843 20392 35686 71372 142744 186077 372154 744308 1302539 1488616 2605078 5210156 10420312