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1140004350 = 2325225110093
BaseRepresentation
bin100001111110011…
…0001010111111110
32221110010012222100
41003330301113332
54313320114400
6305042125530
740151606562
oct10374612776
92843105870
101140004350
11535559161
122799508a6
131522494b4
14ab5936a2
156a139100
hex43f315fe

1140004350 has 72 divisors (see below), whose sum is σ = 3075318792. Its totient is φ = 302760000.

The previous prime is 1140004339. The next prime is 1140004379. The reversal of 1140004350 is 534000411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107904 + ... + 117996.

It is an arithmetic number, because the mean of its divisors is an integer number (42712761).

Almost surely, 21140004350 is an apocalyptic number.

1140004350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140004350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537659396).

1140004350 is an abundant number, since it is smaller than the sum of its proper divisors (1935314442).

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

1140004350 is a wasteful number, since it uses less digits than its factorization.

1140004350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1140004350 is about 33763.9504501473. The cubic root of 1140004350 is about 1044.6452555344.

Adding to 1140004350 its reverse (534000411), we get a palindrome (1674004761).

The spelling of 1140004350 in words is "one billion, one hundred forty million, four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 251 450 502 753 1255 1506 2259 2510 3765 4518 6275 7530 10093 11295 12550 18825 20186 22590 30279 37650 50465 56475 60558 90837 100930 112950 151395 181674 252325 302790 454185 504650 756975 908370 1513950 2270925 2533343 4541850 5066686 7600029 12666715 15200058 22800087 25333430 38000145 45600174 63333575 76000290 114000435 126667150 190000725 228000870 380001450 570002175 1140004350