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145824105 = 3575923539
BaseRepresentation
bin10001011000100…
…01100101101001
3101011101122001210
420230101211221
5244312332410
622245303333
73420325110
oct1054214551
9334348053
10145824105
117534a899
1240a04b49
132429926b
141551cc77
15cc07220
hex8b11969

145824105 has 32 divisors (see below), whose sum is σ = 271180800. Its totient is φ = 65529792.

The previous prime is 145824101. The next prime is 145824139. The reversal of 145824105 is 501428541.

It is not a de Polignac number, because 145824105 - 22 = 145824101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145824101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5575 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (8474400).

Almost surely, 2145824105 is an apocalyptic number.

145824105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145824105 is a deficient number, since it is larger than the sum of its proper divisors (125356695).

145824105 is a wasteful number, since it uses less digits than its factorization.

145824105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23613.

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 145824105 is about 12075.7651931461. The cubic root of 145824105 is about 526.3521968140.

The spelling of 145824105 in words is "one hundred forty-five million, eight hundred twenty-four thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 59 105 177 295 413 885 1239 2065 6195 23539 70617 117695 164773 353085 494319 823865 1388801 2471595 4166403 6944005 9721607 20832015 29164821 48608035 145824105