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142068510 = 232519251331
BaseRepresentation
bin10000111011111…
…00101100011110
3100220022211100200
420131330230132
5242332143020
622033004330
73343363623
oct1035745436
9326284320
10142068510
11732151a1
123b6b36a6
1323582a0c
1414c2234a
15c714590
hex877cb1e

142068510 has 96 divisors (see below), whose sum is σ = 391547520. Its totient is φ = 35640000.

The previous prime is 142068503. The next prime is 142068523. The reversal of 142068510 is 15860241.

142068510 is a `hidden beast` number, since 142 + 0 + 6 + 8 + 510 = 666.

It is a super-4 number, since 4×1420685104 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429045 + ... + 429375.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2142068510 is an apocalyptic number.

142068510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142068510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195773760).

142068510 is an abundant number, since it is smaller than the sum of its proper divisors (249479010).

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

142068510 is a wasteful number, since it uses less digits than its factorization.

142068510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 142068510 is about 11919.2495569142. The cubic root of 142068510 is about 521.7942334283.

The spelling of 142068510 in words is "one hundred forty-two million, sixty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 251 285 331 342 502 570 662 753 855 993 1255 1506 1655 1710 1986 2259 2510 2979 3310 3765 4518 4769 4965 5958 6289 7530 9538 9930 11295 12578 14307 14895 18867 22590 23845 28614 29790 31445 37734 42921 47690 56601 62890 71535 83081 85842 94335 113202 143070 166162 188670 214605 249243 283005 415405 429210 498486 566010 747729 830810 1246215 1495458 1578539 2492430 3157078 3738645 4735617 7477290 7892695 9471234 14206851 15785390 23678085 28413702 47356170 71034255 142068510