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142571968 = 2672114133
BaseRepresentation
bin10000111111101…
…11100111000000
3100221021101222021
420133313213000
5242444300333
622051451224
73350561500
oct1037674700
9327241867
10142571968
1173529480
123b8b6b14
13236cac16
1414d13a00
15c7b382d
hex87f79c0

142571968 has 84 divisors (see below), whose sum is σ = 359112312. Its totient is φ = 55534080.

The previous prime is 142571959. The next prime is 142571971. The reversal of 142571968 is 869175241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32430 + ... + 36562.

Almost surely, 2142571968 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 142571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179556156).

142571968 is an abundant number, since it is smaller than the sum of its proper divisors (216540344).

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

142571968 is a wasteful number, since it uses less digits than its factorization.

142571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4153 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The square root of 142571968 is about 11940.3504136185. The cubic root of 142571968 is about 522.4098795296.

The spelling of 142571968 in words is "one hundred forty-two million, five hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1568 2156 2464 3136 4133 4312 4928 8266 8624 16532 17248 28931 33064 34496 45463 57862 66128 90926 115724 132256 181852 202517 231448 264512 318241 363704 405034 462896 636482 727408 810068 925792 1272964 1454816 1620136 1851584 2227687 2545928 2909632 3240272 4455374 5091856 6480544 8910748 10183712 12961088 17821496 20367424 35642992 71285984 142571968