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142120816 = 24174011303
BaseRepresentation
bin10000111100010…
…01011101110000
3100220102111002221
420132021131300
5242340331231
622034050424
73344002255
oct1036113560
9326374087
10142120816
1173250522
123b719a14
13235a0776
1414c3742c
15c724d11
hex8789770

142120816 has 40 divisors (see below), whose sum is σ = 292508064. Its totient is φ = 66662400.

The previous prime is 142120813. The next prime is 142120829. The reversal of 142120816 is 618021241.

142120816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142120813) by changing a digit.

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, 108421 + ... + 109723.

Almost surely, 2142120816 is an apocalyptic number.

142120816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142120816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146254032).

142120816 is an abundant number, since it is smaller than the sum of its proper divisors (150387248).

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

142120816 is a wasteful number, since it uses less digits than its factorization.

142120816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 142120816 is about 11921.4435367534. The cubic root of 142120816 is about 521.8582626781.

The spelling of 142120816 in words is "one hundred forty-two million, one hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 401 802 1303 1604 2606 3208 5212 6416 6817 10424 13634 20848 22151 27268 44302 54536 88604 109072 177208 354416 522503 1045006 2090012 4180024 8360048 8882551 17765102 35530204 71060408 142120816