Search a number
-
+
11420100 = 22325212689
BaseRepresentation
bin101011100100…
…000111000100
3210111012102200
4223210013010
510410420400
61044434500
7166032516
oct53440704
923435380
1011420100
1164a00aa
1239a8a30
13249b073
141733bb6
151008b00
hexae41c4

11420100 has 54 divisors (see below), whose sum is σ = 35798490. Its totient is φ = 3045120.

The previous prime is 11420089. The next prime is 11420111. The reversal of 11420100 is 102411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11420089) and next prime (11420111).

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 11410884 = 96^2 + 3378^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5445 + ... + 7244.

It is an arithmetic number, because the mean of its divisors is an integer number (662935).

Almost surely, 211420100 is an apocalyptic number.

11420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11420100 is an abundant number, since it is smaller than the sum of its proper divisors (24378390).

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

11420100 is a wasteful number, since it uses less digits than its factorization.

11420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11420100 is about 3379.3638454597. The cubic root of 11420100 is about 225.1939069154.

Adding to 11420100 its reverse (102411), we get a palindrome (11522511).

The spelling of 11420100 in words is "eleven million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12689 25378 38067 50756 63445 76134 114201 126890 152268 190335 228402 253780 317225 380670 456804 571005 634450 761340 951675 1142010 1268900 1903350 2284020 2855025 3806700 5710050 11420100