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1125704400 = 243521997509
BaseRepresentation
bin100001100011000…
…1110001011010000
32220110012201010120
41003012032023100
54301140020100
6303411430240
736616221012
oct10306161320
92813181116
101125704400
11528481417
12274bb5380
1314c2b06a2
14a97101b2
1568c620a0
hex4318e2d0

1125704400 has 240 divisors, whose sum is σ = 3842462400. Its totient is φ = 280903680.

The previous prime is 1125704383. The next prime is 1125704413. The reversal of 1125704400 is 44075211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2211346 + ... + 2211854.

It is an arithmetic number, because the mean of its divisors is an integer number (16010260).

Almost surely, 21125704400 is an apocalyptic number.

1125704400 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 1125704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921231200).

1125704400 is an abundant number, since it is smaller than the sum of its proper divisors (2716758000).

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

1125704400 is a wasteful number, since it uses less digits than its factorization.

1125704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1125704400 is about 33551.5185945435. The cubic root of 1125704400 is about 1040.2589345401.

Adding to 1125704400 its reverse (44075211), we get a palindrome (1169779611).

The spelling of 1125704400 in words is "one billion, one hundred twenty-five million, seven hundred four thousand, four hundred".