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1027027932 = 223723951157
BaseRepresentation
bin111101001101110…
…011001111011100
32122120112102110120
4331031303033130
54100404343212
6245524434540
734310410350
oct7515631734
92576472416
101027027932
11487804317
12247b48a50
13134a11448
149a585460
156026e88c
hex3d3733dc

1027027932 has 48 divisors (see below), whose sum is σ = 2750254080. Its totient is φ = 292203072.

The previous prime is 1027027921. The next prime is 1027027961. The reversal of 1027027932 is 2397207201.

It is a junction number, because it is equal to n+sod(n) for n = 1027027893 and 1027027902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5503 + ... + 45654.

It is an arithmetic number, because the mean of its divisors is an integer number (57296960).

Almost surely, 21027027932 is an apocalyptic number.

1027027932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027027932 is an abundant number, since it is smaller than the sum of its proper divisors (1723226148).

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

1027027932 is a wasteful number, since it uses less digits than its factorization.

1027027932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51410 (or 51408 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1027027932 is about 32047.2765145496. The cubic root of 1027027932 is about 1008.9293402284.

The spelling of 1027027932 in words is "one billion, twenty-seven million, twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 5019 6692 10038 20076 51157 102314 153471 204628 306942 358099 613884 716198 1074297 1432396 2148594 4297188 12226523 24453046 36679569 48906092 73359138 85585661 146718276 171171322 256756983 342342644 513513966 1027027932