Search a number
-
+
1244010400 = 25521555013
BaseRepresentation
bin100101000100110…
…0001011110100000
310012200211021110021
41022021201132200
510021431313100
6323235243224
742553625323
oct11211413640
93180737407
101244010400
11589236476
122a8749514
1316a963539
14bb3087ba
1574330a1a
hex4a2617a0

1244010400 has 36 divisors (see below), whose sum is σ = 3036942342. Its totient is φ = 497603840.

The previous prime is 1244010371. The next prime is 1244010401. The reversal of 1244010400 is 40104421.

It can be written as a sum of positive squares in 3 ways, for example, as 1218568464 + 25441936 = 34908^2 + 5044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1244010401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 776707 + ... + 778306.

Almost surely, 21244010400 is an apocalyptic number.

1244010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244010400 is an abundant number, since it is smaller than the sum of its proper divisors (1792931942).

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

1244010400 is a wasteful number, since it uses less digits than its factorization.

1244010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555033 (or 1555020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1244010400 is about 35270.5316092627. The cubic root of 1244010400 is about 1075.4940292829.

Adding to 1244010400 its reverse (40104421), we get a palindrome (1284114821).

The spelling of 1244010400 in words is "one billion, two hundred forty-four million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1555013 3110026 6220052 7775065 12440104 15550130 24880208 31100260 38875325 49760416 62200520 77750650 124401040 155501300 248802080 311002600 622005200 1244010400