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142760016 = 24337172777
BaseRepresentation
bin10001000001001…
…01100001010000
3100221121221221000
420200211201100
5243021310031
622055502000
73352303650
oct1040454120
9327557830
10142760016
1173647793
123b987900
13237656a9
1414d62360
15c7ee3e6
hex8825850

142760016 has 160 divisors (see below), whose sum is σ = 496039680. Its totient is φ = 38375424.

The previous prime is 142760003. The next prime is 142760021. The reversal of 142760016 is 610067241.

142760016 is a `hidden beast` number, since 1 + 42 + 7 + 600 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50020 + ... + 52796.

It is an arithmetic number, because the mean of its divisors is an integer number (3100248).

Almost surely, 2142760016 is an apocalyptic number.

142760016 is a gapful number since it is divisible by the number (16) 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 142760016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248019840).

142760016 is an abundant number, since it is smaller than the sum of its proper divisors (353279664).

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

142760016 is a wasteful number, since it uses less digits than its factorization.

142760016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 142760016 is about 11948.2222945508. Note that the first 4 decimals coincide. The cubic root of 142760016 is about 522.6394594276.

The spelling of 142760016 in words is "one hundred forty-two million, seven hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2777 2856 3024 3213 3672 4284 5554 5712 6426 7344 8331 8568 11108 12852 16662 17136 19439 22216 24993 25704 33324 38878 44432 47209 49986 51408 58317 66648 74979 77756 94418 99972 116634 133296 141627 149958 155512 174951 188836 199944 233268 283254 299916 311024 330463 349902 377672 399888 424881 466536 524853 566508 599832 660926 699804 755344 849762 933072 991389 1049706 1133016 1199664 1274643 1321852 1399608 1699524 1982778 2099412 2266032 2549286 2643704 2799216 2974167 3399048 3965556 4198824 5098572 5287408 5948334 6798096 7931112 8397648 8922501 10197144 11896668 15862224 17845002 20394288 23793336 35690004 47586672 71380008 142760016