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145946000 = 245372973
BaseRepresentation
bin10001011001011…
…11010110010000
3101011121211021102
420230233112100
5244330233000
622252043532
73421343354
oct1054572620
9334554242
10145946000
1175423432
1240a635a8
132430c8a5
1415551464
15cc2d3d5
hex8b2f590

145946000 has 40 divisors (see below), whose sum is σ = 352902264. Its totient is φ = 58377600.

The previous prime is 145945993. The next prime is 145946041. The reversal of 145946000 is 649541.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 135396496 = 3248^2 + 11636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34487 + ... + 38486.

Almost surely, 2145946000 is an apocalyptic number.

145946000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145946000 is an abundant number, since it is smaller than the sum of its proper divisors (206956264).

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

145946000 is an equidigital number, since it uses as much as digits as its factorization.

145946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72996 (or 72980 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 145946000 is about 12080.8112310391. The cubic root of 145946000 is about 526.4988159942.

The spelling of 145946000 in words is "one hundred forty-five million, nine hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 72973 145946 291892 364865 583784 729730 1167568 1459460 1824325 2918920 3648650 5837840 7297300 9121625 14594600 18243250 29189200 36486500 72973000 145946000