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1142021400 = 2335213314723
BaseRepresentation
bin100010000010001…
…1101110100011000
32221120220200211220
41010010131310120
54314324141100
6305153252040
740205010312
oct10404356430
92846820756
101142021400
11536706643
1227a564020
131527a4610
14ab95a7b2
156a3d6aa0
hex4411dd18

1142021400 has 192 divisors, whose sum is σ = 3936414720. Its totient is φ = 271987200.

The previous prime is 1142021381. The next prime is 1142021407. The reversal of 1142021400 is 41202411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1142021400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142021407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239439 + ... + 244161.

It is an arithmetic number, because the mean of its divisors is an integer number (20502160).

Almost surely, 21142021400 is an apocalyptic number.

1142021400 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 1142021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968207360).

1142021400 is an abundant number, since it is smaller than the sum of its proper divisors (2794393320).

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

1142021400 is a wasteful number, since it uses less digits than its factorization.

1142021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1142021400 is about 33793.8071249748. The cubic root of 1142021400 is about 1045.2610017841.

Adding to 1142021400 its reverse (41202411), we get a palindrome (1183223811).

The spelling of 1142021400 in words is "one billion, one hundred forty-two million, twenty-one thousand, four hundred".