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1142154240 = 21035235361
BaseRepresentation
bin100010000010011…
…1110010000000000
32221121011110001220
41010010332100000
54314342413430
6305200155040
740206102513
oct10404762000
92847143056
101142154240
11536797427
1227a608a80
1315281cc16
14ab992d7a
156a411110
hex4413e400

1142154240 has 352 divisors, whose sum is σ = 3947533056. Its totient is φ = 281149440.

The previous prime is 1142154229. The next prime is 1142154259. The reversal of 1142154240 is 424512411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1142154240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18723810 + ... + 18723870.

Almost surely, 21142154240 is an apocalyptic number.

1142154240 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 1142154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973766528).

1142154240 is an abundant number, since it is smaller than the sum of its proper divisors (2805378816).

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

1142154240 is a wasteful number, since it uses less digits than its factorization.

1142154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1142154240 is about 33795.7725166921. The cubic root of 1142154240 is about 1045.3015284876.

Adding to 1142154240 its reverse (424512411), we get a palindrome (1566666651).

The spelling of 1142154240 in words is "one billion, one hundred forty-two million, one hundred fifty-four thousand, two hundred forty".