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168009975 = 325274311
BaseRepresentation
bin10100000001110…
…10000011110111
3102201010210100200
422000322003313
5321002304400
624401011543
74110030000
oct1200720367
9381123320
10168009975
1186923421
1248323bb3
1328a665b3
14184561a7
15eb3ab00
hexa03a0f7

168009975 has 90 divisors (see below), whose sum is σ = 352186536. Its totient is φ = 76557600.

The previous prime is 168009971. The next prime is 168009979. The reversal of 168009975 is 579900861.

It is an interprime number because it is at equal distance from previous prime (168009971) and next prime (168009979).

It is not a de Polignac number, because 168009975 - 22 = 168009971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 168009975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168009971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 540070 + ... + 540380.

Almost surely, 2168009975 is an apocalyptic number.

168009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

168009975 is an abundant number, since it is smaller than the sum of its proper divisors (184176561).

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

168009975 is an equidigital number, since it uses as much as digits as its factorization.

168009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 168009975 is about 12961.8661850831. The cubic root of 168009975 is about 551.7957558016.

The spelling of 168009975 in words is "one hundred sixty-eight million, nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 311 315 343 441 525 735 933 1029 1225 1555 1575 1715 2177 2205 2401 2799 3087 3675 4665 5145 6531 7203 7775 8575 10885 11025 12005 13995 15239 15435 19593 21609 23325 25725 32655 36015 45717 54425 60025 69975 76195 77175 97965 106673 108045 137151 163275 180075 228585 320019 380975 489825 533365 540225 685755 746711 960057 1142925 1600095 2240133 2666825 3428775 3733555 4800285 6720399 8000475 11200665 18667775 24001425 33601995 56003325 168009975