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142180668 = 223271134993
BaseRepresentation
bin10000111100110…
…00000100111100
3100220112112012200
420132120010330
5242344240133
622035231500
73344341620
oct1036300474
9326475180
10142180668
1173291493
123b748590
13235c1a96
1414c51180
15c737913
hex879813c

142180668 has 72 divisors (see below), whose sum is σ = 414462048. Its totient is φ = 40255488.

The previous prime is 142180631. The next prime is 142180669. The reversal of 142180668 is 866081241.

142180668 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

142180668 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142180669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25980 + ... + 30972.

Almost surely, 2142180668 is an apocalyptic number.

142180668 is a gapful number since it is divisible by the number (18) 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 142180668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207231024).

142180668 is an abundant number, since it is smaller than the sum of its proper divisors (272281380).

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

142180668 is a wasteful number, since it uses less digits than its factorization.

142180668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142180668 is about 11923.9535389903. The cubic root of 142180668 is about 521.9315099289.

The spelling of 142180668 in words is "one hundred forty-two million, one hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 4993 7119 9492 9986 14238 14979 19972 28476 29958 34951 44937 59916 69902 89874 104853 139804 179748 209706 314559 419412 564209 629118 1128418 1258236 1692627 2256836 3385254 3949463 5077881 6770508 7898926 10155762 11848389 15797852 20311524 23696778 35545167 47393556 71090334 142180668