Search a number
-
+
10161424 = 247213997
BaseRepresentation
bin100110110000…
…110100010000
3201010020212001
4212300310100
510100131144
61001443344
7152241100
oct46606420
921106761
1010161424
115810479
1234a0554
13214a1a0
1414c7200
15d5abd4
hex9b0d10

10161424 has 60 divisors (see below), whose sum is σ = 24688524. Its totient is φ = 4015872.

The previous prime is 10161419. The next prime is 10161433. The reversal of 10161424 is 42416101.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 5017600 = 2268^2 + 2240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9694 + ... + 10690.

Almost surely, 210161424 is an apocalyptic number.

10161424 is a gapful number since it is divisible by the number (14) 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 10161424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344262).

10161424 is an abundant number, since it is smaller than the sum of its proper divisors (14527100).

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

10161424 is a wasteful number, since it uses less digits than its factorization.

10161424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10161424 is about 3187.6988565421. The cubic root of 10161424 is about 216.5965448296.

Adding to 10161424 its reverse (42416101), we get a palindrome (52577525).

It can be divided in two parts, 101614 and 24, that multiplied together give a triangular number (2438736 = T2208).

The spelling of 10161424 in words is "ten million, one hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 997 1274 1456 1994 2548 3988 5096 6979 7976 10192 12961 13958 15952 25922 27916 48853 51844 55832 90727 97706 103688 111664 181454 195412 207376 362908 390824 635089 725816 781648 1270178 1451632 2540356 5080712 10161424