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1130040400 = 24522825101
BaseRepresentation
bin100001101011011…
…0000110001010000
32220202101000000011
41003112300301100
54303242243100
6304044404304
740001120266
oct10326606120
92822330004
101130040400
1152a973095
12276546694
1315016b178
14aa11c436
156931bbba
hex435b0c50

1130040400 has 30 divisors (see below), whose sum is σ = 2714923022. Its totient is φ = 452016000.

The previous prime is 1130040391. The next prime is 1130040407. The reversal of 1130040400 is 40400311.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 1124395024 = 2376^2 + 33532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130040407) 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, 1412151 + ... + 1412950.

Almost surely, 21130040400 is an apocalyptic number.

1130040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130040400 is an abundant number, since it is smaller than the sum of its proper divisors (1584882622).

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

1130040400 is a wasteful number, since it uses less digits than its factorization.

1130040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825119 (or 2825108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1130040400 is about 33616.0735363308. The cubic root of 1130040400 is about 1041.5928500936.

Adding to 1130040400 its reverse (40400311), we get a palindrome (1170440711).

The spelling of 1130040400 in words is "one billion, one hundred thirty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2825101 5650202 11300404 14125505 22600808 28251010 45201616 56502020 70627525 113004040 141255050 226008080 282510100 565020200 1130040400