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1142991360 = 29325719373
BaseRepresentation
bin100010000100000…
…1010101000000000
32221122201222101100
41010020022220000
54320101210420
6305230134400
740216160220
oct10410125000
92848658340
101142991360
11537209365
1227a951400
13152a53c64
14abb30080
156a529190
hex4420aa00

1142991360 has 480 divisors, whose sum is σ = 4774872960. Its totient is φ = 246841344.

The previous prime is 1142991349. The next prime is 1142991389. The reversal of 1142991360 is 631992411.

It is a happy number.

1142991360 is a `hidden beast` number, since 1 + 1 + 4 + 299 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064134 + ... + 3064506.

It is an arithmetic number, because the mean of its divisors is an integer number (9947652).

Almost surely, 21142991360 is an apocalyptic number.

1142991360 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 1142991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387436480).

1142991360 is an abundant number, since it is smaller than the sum of its proper divisors (3631881600).

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

1142991360 is a wasteful number, since it uses less digits than its factorization.

1142991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1142991360 is about 33808.1552291751. The cubic root of 1142991360 is about 1045.5568440104.

The spelling of 1142991360 in words is "one billion, one hundred forty-two million, nine hundred ninety-one thousand, three hundred sixty".