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1029140964 = 2237117643
BaseRepresentation
bin111101010101110…
…111000111100100
32122201111210000000
4331111313013210
54101430002324
6250042021300
734334360655
oct7525670744
92581453000
101029140964
11488a17925
122487a7830
131352a1167
149a97552c
156053a9c9
hex3d5771e4

1029140964 has 48 divisors (see below), whose sum is σ = 2701106240. Its totient is φ = 343044072.

The previous prime is 1029140963. The next prime is 1029140969. The reversal of 1029140964 is 4690419201.

It is a happy number.

1029140964 is a `hidden beast` number, since 102 + 91 + 409 + 64 = 666.

It is a super-2 number, since 2×10291409642 = 2118262247565698592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1029140963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50074 + ... + 67569.

Almost surely, 21029140964 is an apocalyptic number.

It is an amenable number.

1029140964 is an abundant number, since it is smaller than the sum of its proper divisors (1671965276).

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

1029140964 is an equidigital number, since it uses as much as digits as its factorization.

1029140964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117668 (or 117648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1029140964 is about 32080.2269942094. The cubic root of 1029140964 is about 1009.6207980781.

The spelling of 1029140964 in words is "one billion, twenty-nine million, one hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 117643 235286 352929 470572 705858 1058787 1411716 2117574 3176361 4235148 6352722 9529083 12705444 19058166 28587249 38116332 57174498 85761747 114348996 171523494 257285241 343046988 514570482 1029140964