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1140431300 = 2252193891543
BaseRepresentation
bin100001111111001…
…1001100111000100
32221110220220122022
41003332121213010
54313422300200
6305055222312
740155335411
oct10376314704
92843826568
101140431300
1153581aa08
12279b17998
13152368928
14ab665108
156a1c0885
hex43f999c4

1140431300 has 72 divisors (see below), whose sum is σ = 2613374400. Its totient is φ = 430773120.

The previous prime is 1140431273. The next prime is 1140431329. The reversal of 1140431300 is 31340411.

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, 738329 + ... + 739871.

Almost surely, 21140431300 is an apocalyptic number.

1140431300 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 1140431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306687200).

1140431300 is an abundant number, since it is smaller than the sum of its proper divisors (1472943100).

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

1140431300 is a wasteful number, since it uses less digits than its factorization.

1140431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1140431300 is about 33770.2724300530. The cubic root of 1140431300 is about 1044.7756514181.

Adding to 1140431300 its reverse (31340411), we get a palindrome (1171771711).

The spelling of 1140431300 in words is "one billion, one hundred forty million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 389 475 778 950 1543 1556 1900 1945 3086 3890 6172 7391 7715 7780 9725 14782 15430 19450 29317 29564 30860 36955 38575 38900 58634 73910 77150 117268 146585 147820 154300 184775 293170 369550 586340 600227 732925 739100 1200454 1465850 2400908 2931700 3001135 6002270 11404313 12004540 15005675 22808626 30011350 45617252 57021565 60022700 114043130 228086260 285107825 570215650 1140431300