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159405345 = 325111719997
BaseRepresentation
bin10011000000001…
…01010100100001
3102002221122000200
421200011110201
5311301432340
623452335413
73643631421
oct1140052441
9362848020
10159405345
1181a86660
1245474569
1327042bb8
1417256481
15dedb330
hex9805521

159405345 has 96 divisors (see below), whose sum is σ = 336286080. Its totient is φ = 68843520.

The previous prime is 159405293. The next prime is 159405347. The reversal of 159405345 is 543504951.

It is not a de Polignac number, because 159405345 - 27 = 159405217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (159405347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159387 + ... + 160383.

It is an arithmetic number, because the mean of its divisors is an integer number (3502980).

Almost surely, 2159405345 is an apocalyptic number.

159405345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

159405345 is an abundant number, since it is smaller than the sum of its proper divisors (176880735).

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

159405345 is a wasteful number, since it uses less digits than its factorization.

159405345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 159405345 is about 12625.5829568381. The cubic root of 159405345 is about 542.2101292147.

It can be divided in two parts, 159 and 405345, that added together give a palindrome (405504).

The spelling of 159405345 in words is "one hundred fifty-nine million, four hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 17 19 33 45 51 55 57 85 95 99 153 165 171 187 209 255 285 323 495 561 627 765 855 935 969 997 1045 1615 1683 1881 2805 2907 2991 3135 3553 4845 4985 8415 8973 9405 10659 10967 14535 14955 16949 17765 18943 31977 32901 44865 50847 53295 54835 56829 84745 94715 98703 152541 159885 164505 170487 186439 208373 254235 284145 322031 493515 559317 625119 762705 852435 932195 966093 1041865 1610155 1677951 1875357 2796585 2898279 3125595 3542341 4830465 8389755 9376785 10627023 14491395 17711705 31881069 53135115 159405345