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1140010432 = 261110116033
BaseRepresentation
bin100001111110011…
…0010110111000000
32221110010112022121
41003330302313000
54313320313212
6305042214024
740151633401
oct10374626700
92843115277
101140010432
11535562790
12279954314
1315224c1b2
14ab5959a8
156a13ad07
hex43f32dc0

1140010432 has 56 divisors (see below), whose sum is σ = 2492453232. Its totient is φ = 513024000.

The previous prime is 1140010411. The next prime is 1140010439. The reversal of 1140010432 is 2340100411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140010439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63088 + ... + 79120.

Almost surely, 21140010432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246226616).

1140010432 is an abundant number, since it is smaller than the sum of its proper divisors (1352442800).

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

1140010432 is a wasteful number, since it uses less digits than its factorization.

1140010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16157 (or 16147 counting only the distinct ones).

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

The square root of 1140010432 is about 33764.0405165022. The cubic root of 1140010432 is about 1044.6471132820.

Adding to 1140010432 its reverse (2340100411), we get a palindrome (3480110843).

The spelling of 1140010432 in words is "one billion, one hundred forty million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1616 2222 3232 4444 6464 8888 16033 17776 32066 35552 64132 71104 128264 176363 256528 352726 513056 705452 1026112 1410904 1619333 2821808 3238666 5643616 6477332 11287232 12954664 17812663 25909328 35625326 51818656 71250652 103637312 142501304 285002608 570005216 1140010432