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1140420240 = 243251583917
BaseRepresentation
bin100001111111001…
…0110111010010000
32221110220100110200
41003332112322100
54313421421430
6305055055200
740155261231
oct10376267220
92843810420
101140420240
11535812673
12279b11500
1315236389b
14ab661088
156a1bc460
hex43f96e90

1140420240 has 60 divisors (see below), whose sum is σ = 3829913724. Its totient is φ = 304111872.

The previous prime is 1140420233. The next prime is 1140420313. The reversal of 1140420240 is 420240411.

1140420240 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 420 + 240 = 666.

1140420240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 308213136 + 832207104 = 17556^2 + 28848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791239 + ... + 792678.

Almost surely, 21140420240 is an apocalyptic number.

1140420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140420240 is an abundant number, since it is smaller than the sum of its proper divisors (2689493484).

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

1140420240 is a wasteful number, since it uses less digits than its factorization.

1140420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583936 (or 1583927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1140420240 is about 33770.1086761651. The cubic root of 1140420240 is about 1044.7722739661.

Adding to 1140420240 its reverse (420240411), we get a palindrome (1560660651).

The spelling of 1140420240 in words is "one billion, one hundred forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1583917 3167834 4751751 6335668 7919585 9503502 12671336 14255253 15839170 19007004 23758755 25342672 28510506 31678340 38014008 47517510 57021012 63356680 71276265 76028016 95035020 114042024 126713360 142552530 190070040 228084048 285105060 380140080 570210120 1140420240