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1142914080 = 2535711172107
BaseRepresentation
bin100010000011111…
…0111110000100000
32221122121001101010
41010013313300200
54320041222310
6305224340520
740215416010
oct10407676040
92848531333
101142914080
115371662a0
1227a914740
13152a27a29
14abb0dc40
156a511320
hex441f7c20

1142914080 has 576 divisors, whose sum is σ = 4812659712. Its totient is φ = 221429760.

The previous prime is 1142914079. The next prime is 1142914121. The reversal of 1142914080 is 804192411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10681387 + ... + 10681493.

It is an arithmetic number, because the mean of its divisors is an integer number (8355312).

Almost surely, 21142914080 is an apocalyptic number.

1142914080 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 1142914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406329856).

1142914080 is an abundant number, since it is smaller than the sum of its proper divisors (3669745632).

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

1142914080 is a wasteful number, since it uses less digits than its factorization.

1142914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1142914080 is about 33807.0122903518. The cubic root of 1142914080 is about 1045.5332793954.

The spelling of 1142914080 in words is "one billion, one hundred forty-two million, nine hundred fourteen thousand, eighty".