[go: up one dir, main page]

Search a number
-
+
10420380 = 2233523839
BaseRepresentation
bin100111110000…
…000010011100
3201121102002000
4213300002130
510131423010
61011202300
7154400055
oct47600234
921542060
1010420380
115977a93
1235a6390
13220b009
14155372c
15dac7c0
hex9f009c

10420380 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2654784.

The previous prime is 10420363. The next prime is 10420381. The reversal of 10420380 is 8302401.

It is a happy number.

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 (10420381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12001 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 210420380 is an apocalyptic number.

10420380 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 10420380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10420380 is an abundant number, since it is smaller than the sum of its proper divisors (23448420).

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

10420380 is a wasteful number, since it uses less digits than its factorization.

10420380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10420380 is about 3228.0613377072. The cubic root of 10420380 is about 218.4210642647.

Adding to 10420380 its reverse (8302401), we get a palindrome (18722781).

The spelling of 10420380 in words is "ten million, four hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 839 1035 1242 1380 1678 2070 2484 2517 3105 3356 4140 4195 5034 6210 7551 8390 10068 12420 12585 15102 16780 19297 22653 25170 30204 37755 38594 45306 50340 57891 75510 77188 90612 96485 113265 115782 151020 173673 192970 226530 231564 289455 347346 385940 453060 521019 578910 694692 868365 1042038 1157820 1736730 2084076 2605095 3473460 5210190 10420380