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168380928 = 293236541
BaseRepresentation
bin10100000100101…
…00101000000000
3102201211122012200
422002110220000
5321101142203
624412553200
74113133332
oct1202245000
9381748180
10168380928
11870570a1
1248482800
1328b663b1
1418511452
15ebb09a3
hexa094a00

168380928 has 60 divisors (see below), whose sum is σ = 485972058. Its totient is φ = 56125440.

The previous prime is 168380917. The next prime is 168380929. The reversal of 168380928 is 829083861.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 65804544 = 10128^2 + 8112^2 .

It is not an unprimeable number, because it can be changed into a prime (168380929) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13663 + ... + 22878.

Almost surely, 2168380928 is an apocalyptic number.

168380928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168380928 is an abundant number, since it is smaller than the sum of its proper divisors (317591130).

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

168380928 is an equidigital number, since it uses as much as digits as its factorization.

168380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36565 (or 36546 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 168380928 is about 12976.1676931211. The cubic root of 168380928 is about 552.2015647003.

The spelling of 168380928 in words is "one hundred sixty-eight million, three hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 36541 73082 109623 146164 219246 292328 328869 438492 584656 657738 876984 1169312 1315476 1753968 2338624 2630952 3507936 4677248 5261904 7015872 9354496 10523808 14031744 18708992 21047616 28063488 42095232 56126976 84190464 168380928