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1005532319 = 11397230257
BaseRepresentation
bin111011111011110…
…011010010011111
32121002002100000202
4323323303102133
54024404013234
6243440014115
733626612051
oct7373632237
92532070022
101005532319
11476662350
1224090133b
1313042634c
149778b8d1
155d42577e
hex3bef349f

1005532319 has 8 divisors (see below), whose sum is σ = 1099712208. Its totient is φ = 911813760.

The previous prime is 1005532291. The next prime is 1005532349. The reversal of 1005532319 is 9132355001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1005532319 is a prime.

It is a super-2 number, since 2×10055323192 = 2022190489107035522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005532291 and 1005532300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005532349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110762 + ... + 119495.

It is an arithmetic number, because the mean of its divisors is an integer number (137464026).

Almost surely, 21005532319 is an apocalyptic number.

1005532319 is a deficient number, since it is larger than the sum of its proper divisors (94179889).

1005532319 is a wasteful number, since it uses less digits than its factorization.

1005532319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230665.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 1005532319 is about 31710.1295960770. The cubic root of 1005532319 is about 1001.8407160189.

The spelling of 1005532319 in words is "one billion, five million, five hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 11 397 4367 230257 2532827 91412029 1005532319