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1051142400 = 28335271179
BaseRepresentation
bin111110101001110…
…010100100000000
32201020220120022000
4332221302210000
54123043024100
6252145344000
735022364050
oct7651624400
92636816260
101051142400
1149a384930
12254038000
13139a05569
149d861560
1562434900
hex3ea72900

1051142400 has 864 divisors, whose sum is σ = 4866355200. Its totient is φ = 215654400.

The previous prime is 1051142387. The next prime is 1051142441. The reversal of 1051142400 is 42411501.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10511424002 = 2209800690155520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13305561 + ... + 13305639.

Almost surely, 21051142400 is an apocalyptic number.

1051142400 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 1051142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433177600).

1051142400 is an abundant number, since it is smaller than the sum of its proper divisors (3815212800).

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

1051142400 is a wasteful number, since it uses less digits than its factorization.

1051142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1051142400 is about 32421.3263146343. The cubic root of 1051142400 is about 1016.7648362907.

Adding to 1051142400 its reverse (42411501), we get a palindrome (1093553901).

The spelling of 1051142400 in words is "one billion, fifty-one million, one hundred forty-two thousand, four hundred".