Search a number
-
+
10130420 = 2251953503
BaseRepresentation
bin100110101001…
…001111110100
3201001200022202
4212221033310
510043133140
61001044032
7152051516
oct46511764
921050282
1010130420
11579a153
123486618
132139041
1414b9bb6
15d51915
hex9a93f4

10130420 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 3758976.

The previous prime is 10130383. The next prime is 10130431. The reversal of 10130420 is 2403101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19889 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 210130420 is an apocalyptic number.

10130420 is a gapful number since it is divisible by the number (10) 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 10130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10130420 is an abundant number, since it is smaller than the sum of its proper divisors (12731020).

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

10130420 is a wasteful number, since it uses less digits than its factorization.

10130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10130420 is about 3182.8320722275. The cubic root of 10130420 is about 216.3760310930.

Adding to 10130420 its reverse (2403101), we get a palindrome (12533521).

The spelling of 10130420 in words is "ten million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 503 530 1006 1007 1060 2012 2014 2515 4028 5030 5035 9557 10060 10070 19114 20140 26659 38228 47785 53318 95570 106636 133295 191140 266590 506521 533180 1013042 2026084 2532605 5065210 10130420