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145808600 = 23527104149
BaseRepresentation
bin10001011000011…
…01110011011000
3101011100211210112
420230031303120
5244311333400
622245103452
73420231650
oct1054156330
9334324715
10145808600
117533a183
12409b7b88
13242921a2
1415517360
15cc02835
hex8b0dcd8

145808600 has 48 divisors (see below), whose sum is σ = 387438000. Its totient is φ = 49991040.

The previous prime is 145808599. The next prime is 145808627. The reversal of 145808600 is 6808541.

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 11 ways as a sum of consecutive naturals, for example, 50675 + ... + 53474.

It is an arithmetic number, because the mean of its divisors is an integer number (8071625).

Almost surely, 2145808600 is an apocalyptic number.

145808600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145808600 is an abundant number, since it is smaller than the sum of its proper divisors (241629400).

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

145808600 is a wasteful number, since it uses less digits than its factorization.

145808600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104172 (or 104163 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 145808600 is about 12075.1231877774. The cubic root of 145808600 is about 526.3335410504. Note that the first 3 decimals are identical.

The spelling of 145808600 in words is "one hundred forty-five million, eight hundred eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 104149 208298 416596 520745 729043 833192 1041490 1458086 2082980 2603725 2916172 3645215 4165960 5207450 5832344 7290430 10414900 14580860 18226075 20829800 29161720 36452150 72904300 145808600