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142163028 = 223273779193
BaseRepresentation
bin10000111100100…
…11110001010100
3100220111122000100
420132103301110
5242343204103
622035014100
73344236320
oct1036236124
9326448010
10142163028
117327a207
123b73a330
13235b6a47
1414c48980
15c7325a3
hex8793c54

142163028 has 144 divisors (see below), whose sum is σ = 429345280. Its totient is φ = 38817792.

The previous prime is 142162987. The next prime is 142163039. The reversal of 142163028 is 820361241.

142163028 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 630 + 28 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142162992 and 142163010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736500 + ... + 736692.

Almost surely, 2142163028 is an apocalyptic number.

142163028 is a gapful number since it is divisible by the number (18) 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 142163028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214672640).

142163028 is an abundant number, since it is smaller than the sum of its proper divisors (287182252).

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

142163028 is a wasteful number, since it uses less digits than its factorization.

142163028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142163028 is about 11923.2138284944. The cubic root of 142163028 is about 521.9099241237.

The spelling of 142163028 in words is "one hundred forty-two million, one hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 79 84 111 126 148 158 193 222 237 252 259 316 333 386 444 474 518 553 579 666 711 772 777 948 1036 1106 1158 1332 1351 1422 1554 1659 1737 2212 2316 2331 2702 2844 2923 3108 3318 3474 4053 4662 4977 5404 5846 6636 6948 7141 8106 8769 9324 9954 11692 12159 14282 15247 16212 17538 19908 20461 21423 24318 26307 28564 30494 35076 40922 42846 45741 48636 49987 52614 60988 61383 64269 81844 85692 91482 99974 105228 106729 122766 128538 137223 149961 182964 184149 199948 213458 245532 257076 274446 299922 320187 368298 426916 449883 548892 564139 599844 640374 736596 899766 960561 1128278 1280748 1692417 1799532 1921122 2256556 3384834 3842244 3948973 5077251 6769668 7897946 10154502 11846919 15795892 20309004 23693838 35540757 47387676 71081514 142163028