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145506000 = 2435324251
BaseRepresentation
bin10001010110000…
…11111011010000
3101010210110201010
420223003323100
5244222143000
622234410520
73414531513
oct1053037320
9333713633
10145506000
11751528a2
1240890a40
13241b7533
1415478d7a
15cb92d50
hex8ac3ed0

145506000 has 80 divisors (see below), whose sum is σ = 469130688. Its totient is φ = 38800000.

The previous prime is 145505993. The next prime is 145506001. The reversal of 145506000 is 605541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145506001) 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 15 ways as a sum of consecutive naturals, for example, 6126 + ... + 18125.

Almost surely, 2145506000 is an apocalyptic number.

145506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145506000 is an abundant number, since it is smaller than the sum of its proper divisors (323624688).

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

145506000 is a wasteful number, since it uses less digits than its factorization.

145506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24261 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 145506000 is about 12062.5867872526. The cubic root of 145506000 is about 525.9691847764.

The spelling of 145506000 in words is "one hundred forty-five million, five hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 24251 48502 72753 97004 121255 145506 194008 242510 291012 363765 388016 485020 582024 606275 727530 970040 1164048 1212550 1455060 1818825 1940080 2425100 2910120 3031375 3637650 4850200 5820240 6062750 7275300 9094125 9700400 12125500 14550600 18188250 24251000 29101200 36376500 48502000 72753000 145506000