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1142400 = 27352717
BaseRepresentation
bin100010110111010000000
32011001002010
410112322000
5243024100
640252520
712465420
oct4267200
92131063
101142400
11710336
12471140
1330cc9c
1421a480
15178750
hex116e80

1142400 has 192 divisors, whose sum is σ = 4553280. Its totient is φ = 245760.

The previous prime is 1142389. The next prime is 1142423. The reversal of 1142400 is 42411.

Adding to 1142400 its reverse (42411), we get a palindrome (1184811).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67192 + ... + 67208.

It is an arithmetic number, because the mean of its divisors is an integer number (23715).

21142400 is an apocalyptic number.

1142400 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 1142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640).

1142400 is an abundant number, since it is smaller than the sum of its proper divisors (3410880).

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

1142400 is a wasteful number, since it uses less digits than its factorization.

1142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1142400 is about 1068.8311372710. The cubic root of 1142400 is about 104.5376496436.

The spelling of 1142400 in words is "one million, one hundred forty-two thousand, four hundred".