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20145078 = 233596323
BaseRepresentation
bin100110011011…
…0001110110110
31101220110212000
41030312032312
520124120303
61555440130
7333142002
oct114661666
941813760
1020145078
111040a328
1268b6046
134234485
142965702
151b7dda3
hex13363b6

20145078 has 32 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 6600168.

The previous prime is 20145077. The next prime is 20145089. The reversal of 20145078 is 87054102.

20145078 is a `hidden beast` number, since 201 + 450 + 7 + 8 = 666.

It is a super-3 number, since 3×201450783 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 220145078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

20145078 is an abundant number, since it is smaller than the sum of its proper divisors (25387722).

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

20145078 is a wasteful number, since it uses less digits than its factorization.

20145078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20145078 is about 4488.3268597552. The cubic root of 20145078 is about 272.0965181546.

The spelling of 20145078 in words is "twenty million, one hundred forty-five thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 6323 12646 18969 37938 56907 113814 170721 341442 373057 746114 1119171 2238342 3357513 6715026 10072539 20145078