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20523078 = 2331983241
BaseRepresentation
bin100111001001…
…0100001000110
31102121200101000
41032102201012
520223214303
62011514130
7336305022
oct116224106
942550330
1020523078
1110648324
126a58946
134337544
142a23382
151c05da3
hex1392846

20523078 has 64 divisors (see below), whose sum is σ = 48787200. Its totient is φ = 6376320.

The previous prime is 20523077. The next prime is 20523089. The reversal of 20523078 is 87032502.

It is a Harshad number since it is a multiple of its sum of digits (27).

20523078 is a modest number, since divided by 3078 gives 2052 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523077) 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, 85038 + ... + 85278.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 220523078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20523078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

20523078 is an abundant number, since it is smaller than the sum of its proper divisors (28264122).

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

20523078 is a wasteful number, since it uses less digits than its factorization.

20523078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20523078 is about 4530.2403909726. The cubic root of 20523078 is about 273.7878461467.

The spelling of 20523078 in words is "twenty million, five hundred twenty-three thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 83 114 166 171 241 249 342 482 498 513 723 747 1026 1446 1494 1577 2169 2241 3154 4338 4482 4579 4731 6507 9158 9462 13014 13737 14193 20003 27474 28386 40006 41211 42579 60009 82422 85158 120018 123633 180027 247266 360054 380057 540081 760114 1080162 1140171 2280342 3420513 6841026 10261539 20523078