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42196140 = 223457612
BaseRepresentation
bin1010000011110…
…1110010101100
32221101210020000
42200331302230
541300234030
64104224300
71021442550
oct240756254
987353200
1042196140
1121900648
121216b090
13898533c
145865860
153a87860
hex283dcac

42196140 has 180 divisors, whose sum is σ = 153801648. Its totient is φ = 9486720.

The previous prime is 42196139. The next prime is 42196153. The reversal of 42196140 is 4169124.

42196140 is a `hidden beast` number, since 42 + 1 + 9 + 614 + 0 = 666.

42196140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 59 ways as a sum of consecutive naturals, for example, 691710 + ... + 691770.

Almost surely, 242196140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42196140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76900824).

42196140 is an abundant number, since it is smaller than the sum of its proper divisors (111605508).

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

42196140 is a wasteful number, since it uses less digits than its factorization.

42196140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42196140 is about 6495.8556018434. The cubic root of 42196140 is about 348.1429258336.

The spelling of 42196140 in words is "forty-two million, one hundred ninety-six thousand, one hundred forty".