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10442412 = 2233313119
BaseRepresentation
bin100111110101…
…011010101100
3201122112022000
4213311122230
510133124122
61011452300
7154521231
oct47653254
921575260
1010442412
1159925a2
1235b7090
132218056
14155b788
15db40ac
hex9f56ac

10442412 has 48 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 3367440.

The previous prime is 10442401. The next prime is 10442461. The reversal of 10442412 is 21424401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 210442412 is an apocalyptic number.

10442412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

10442412 is an abundant number, since it is smaller than the sum of its proper divisors (17512788).

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

10442412 is a wasteful number, since it uses less digits than its factorization.

10442412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10442412 is about 3231.4721103547. The cubic root of 10442412 is about 218.5748931180.

Adding to 10442412 its reverse (21424401), we get a palindrome (31866813).

The spelling of 10442412 in words is "ten million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3119 3348 6238 9357 12476 18714 28071 37428 56142 84213 96689 112284 168426 193378 290067 336852 386756 580134 870201 1160268 1740402 2610603 3480804 5221206 10442412