Search a number
-
+
103000400 = 2452257501
BaseRepresentation
bin1100010001110…
…10100101010000
321011210221222122
412020322211100
5202332003100
614115353412
72360326466
oct610724520
9234727878
10103000400
11531607a8
122a5b2868
13184543a9
14d972836
159098985
hex623a950

103000400 has 30 divisors (see below), whose sum is σ = 247459422. Its totient is φ = 41200000.

The previous prime is 103000363. The next prime is 103000411. The reversal of 103000400 is 4000301.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 102981904 = 136^2 + 10148^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128351 + ... + 129150.

Almost surely, 2103000400 is an apocalyptic number.

103000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103000400 is an abundant number, since it is smaller than the sum of its proper divisors (144459022).

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

103000400 is a wasteful number, since it uses less digits than its factorization.

103000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257519 (or 257508 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103000400 is about 10148.9112716587. The cubic root of 103000400 is about 468.7554215669.

Adding to 103000400 its reverse (4000301), we get a palindrome (107000701).

Subtracting from 103000400 its reverse (4000301), we obtain a palindrome (99000099).

The spelling of 103000400 in words is "one hundred three million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 257501 515002 1030004 1287505 2060008 2575010 4120016 5150020 6437525 10300040 12875050 20600080 25750100 51500200 103000400