Search a number
-
+
10053414 = 2327731093
BaseRepresentation
bin100110010110…
…011100100110
3200220202200200
4212112130212
510033202124
6555251330
7151311150
oct46263446
920822620
1010053414
115747308
123449b46
13210cc87
141499ad0
15d38bc9
hex996726

10053414 has 48 divisors (see below), whose sum is σ = 25258272. Its totient is φ = 2830464.

The previous prime is 10053391. The next prime is 10053419. The reversal of 10053414 is 41435001.

It is a happy number.

10053414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100534142 = 202142266110792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8652 + ... + 9744.

It is an arithmetic number, because the mean of its divisors is an integer number (526214).

Almost surely, 210053414 is an apocalyptic number.

10053414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12629136).

10053414 is an abundant number, since it is smaller than the sum of its proper divisors (15204858).

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

10053414 is a wasteful number, since it uses less digits than its factorization.

10053414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10053414 is about 3170.7119074429. The cubic root of 10053414 is about 215.8263779687.

Adding to 10053414 its reverse (41435001), we get a palindrome (51488415).

The spelling of 10053414 in words is "ten million, fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1093 1314 1533 2186 3066 3279 4599 6558 7651 9198 9837 15302 19674 22953 45906 68859 79789 137718 159578 239367 478734 558523 718101 1117046 1436202 1675569 3351138 5026707 10053414