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1120134400 = 28527112273
BaseRepresentation
bin100001011000011…
…1110010100000000
32220001201201112021
41002300332110000
54243223300100
6303052211224
736520661650
oct10260762400
92801651467
101120134400
11525317610
12273169b14
1314b0b0328
14a8aa0360
1568511a1a
hex42c3e500

1120134400 has 216 divisors, whose sum is σ = 3458153664. Its totient is φ = 348979200.

The previous prime is 1120134371. The next prime is 1120134479. The reversal of 1120134400 is 44310211.

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

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 23 ways as a sum of consecutive naturals, for example, 491664 + ... + 493936.

Almost surely, 21120134400 is an apocalyptic number.

1120134400 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 1120134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729076832).

1120134400 is an abundant number, since it is smaller than the sum of its proper divisors (2338019264).

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

1120134400 is a wasteful number, since it uses less digits than its factorization.

1120134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1120134400 is about 33468.4089851908. The cubic root of 1120134400 is about 1038.5403586615.

Adding to 1120134400 its reverse (44310211), we get a palindrome (1164444611).

The spelling of 1120134400 in words is "one billion, one hundred twenty million, one hundred thirty-four thousand, four hundred".