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142192116 = 2232111312741
BaseRepresentation
bin10000111100110…
…10110111110100
3100220120002220200
420132122313310
5242400121431
622035400500
73344420163
oct1036326764
9326502820
10142192116
117329a050
123b753130
13235c7061
1414c553da
15c73aee6
hex879adf4

142192116 has 72 divisors (see below), whose sum is σ = 395242848. Its totient is φ = 42744000.

The previous prime is 142192111. The next prime is 142192117. The reversal of 142192116 is 611291241.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142192116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142192111) 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, 50506 + ... + 53246.

It is an arithmetic number, because the mean of its divisors is an integer number (5489484).

Almost surely, 2142192116 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 142192116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197621424).

142192116 is an abundant number, since it is smaller than the sum of its proper divisors (253050732).

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

142192116 is a wasteful number, since it uses less digits than its factorization.

142192116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2888 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 142192116 is about 11924.4335714532. The cubic root of 142192116 is about 521.9455177206.

The spelling of 142192116 in words is "one hundred forty-two million, one hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 262 393 396 524 786 1179 1441 1572 2358 2741 2882 4323 4716 5482 5764 8223 8646 10964 12969 16446 17292 24669 25938 30151 32892 49338 51876 60302 90453 98676 120604 180906 271359 359071 361812 542718 718142 1077213 1085436 1436284 2154426 3231639 3949781 4308852 6463278 7899562 11849343 12926556 15799124 23698686 35548029 47397372 71096058 142192116