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142791168 = 293137151
BaseRepresentation
bin10001000001011…
…01001000000000
3100221200112122210
420200231020000
5243023304133
622100302120
73352463532
oct1040551000
9327615583
10142791168
1173669133
123b9a1940
1323776920
1414d6d852
15c808763
hex882d200

142791168 has 80 divisors (see below), whose sum is σ = 409723776. Its totient is φ = 43929600.

The previous prime is 142791163. The next prime is 142791193. The reversal of 142791168 is 861197241.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (142791161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16393 + ... + 23543.

Almost surely, 2142791168 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 142791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204861888).

142791168 is an abundant number, since it is smaller than the sum of its proper divisors (266932608).

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

142791168 is an equidigital number, since it uses as much as digits as its factorization.

142791168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185 (or 7169 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 142791168 is about 11949.5258483339. The cubic root of 142791168 is about 522.6774721261.

The spelling of 142791168 in words is "one hundred forty-two million, seven hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 7151 9984 14302 19968 21453 28604 42906 57208 85812 92963 114416 171624 185926 228832 278889 343248 371852 457664 557778 686496 743704 915328 1115556 1372992 1487408 1830656 2231112 2745984 2974816 3661312 4462224 5491968 5949632 8924448 10983936 11899264 17848896 23798528 35697792 47597056 71395584 142791168