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1150230400 = 27521141797
BaseRepresentation
bin100010010001111…
…0001111110000000
32222011100202110221
41010203301332000
54323424333100
6310045232424
740334540254
oct10443617600
92864322427
101150230400
11540303140
12281262714
131543b9c07
14aca96264
156aea901a
hex448f1f80

1150230400 has 192 divisors, whose sum is σ = 3179327760. Its totient is φ = 407552000.

The previous prime is 1150230377. The next prime is 1150230407. The reversal of 1150230400 is 40320511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442802 + ... + 1443598.

Almost surely, 21150230400 is an apocalyptic number.

1150230400 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 1150230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589663880).

1150230400 is an abundant number, since it is smaller than the sum of its proper divisors (2029097360).

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

1150230400 is a wasteful number, since it uses less digits than its factorization.

1150230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1150230400 is about 33915.0468081647. The cubic root of 1150230400 is about 1047.7595159410.

Adding to 1150230400 its reverse (40320511), we get a palindrome (1190550911).

The spelling of 1150230400 in words is "one billion, one hundred fifty million, two hundred thirty thousand, four hundred".