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142816960 = 26511133121
BaseRepresentation
bin10001000001100…
…11011011000000
3100221201212001001
420200303123000
5243030120320
622101021344
73352631656
oct1040633300
9327655031
10142816960
1173686550
123b9b4854
13237855a0
1414d78dd6
15c81120a
hex88336c0

142816960 has 112 divisors (see below), whose sum is σ = 399665952. Its totient is φ = 47923200.

The previous prime is 142816957. The next prime is 142816979. The reversal of 142816960 is 69618241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44200 + ... + 47320.

It is an arithmetic number, because the mean of its divisors is an integer number (3568446).

Almost surely, 2142816960 is an apocalyptic number.

142816960 is a gapful number since it is divisible by the number (10) 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 142816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199832976).

142816960 is an abundant number, since it is smaller than the sum of its proper divisors (256848992).

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

142816960 is a wasteful number, since it uses less digits than its factorization.

142816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 142816960 is about 11950.6050056054. The cubic root of 142816960 is about 522.7089401923.

The spelling of 142816960 in words is "one hundred forty-two million, eight hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3121 3520 4160 4576 5720 6242 9152 11440 12484 15605 22880 24968 31210 34331 40573 45760 49936 62420 68662 81146 99872 124840 137324 162292 171655 199744 202865 249680 274648 324584 343310 405730 446303 499360 549296 649168 686620 811460 892606 998720 1098592 1298336 1373240 1622920 1785212 2197184 2231515 2596672 2746480 3245840 3570424 4463030 5492960 6491680 7140848 8926060 10985920 12983360 14281696 17852120 28563392 35704240 71408480 142816960