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142309728 = 253211291549
BaseRepresentation
bin10000111101101…
…11100101100000
3100220210002020200
420132313211200
5242412402403
622042105200
73345420111
oct1036674540
9326702220
10142309728
117336a450
123b7ab200
1323638752
1414c86208
15c760ca3
hex87b7960

142309728 has 144 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 41610240.

The previous prime is 142309681. The next prime is 142309781. The reversal of 142309728 is 827903241.

142309728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1423097284 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142309692 and 142309701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91098 + ... + 92646.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2142309728 is an apocalyptic number.

142309728 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 142309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

142309728 is an abundant number, since it is smaller than the sum of its proper divisors (314692272).

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

142309728 is a wasteful number, since it uses less digits than its factorization.

142309728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 142309728 is about 11929.3641071098. The cubic root of 142309728 is about 522.0893844380.

The spelling of 142309728 in words is "one hundred forty-two million, three hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1549 1584 1914 2088 2552 2784 2871 3098 3168 3828 4176 4647 5104 5742 6196 7656 8352 9294 10208 11484 12392 13941 15312 17039 18588 22968 24784 27882 30624 34078 37176 44921 45936 49568 51117 55764 68156 74352 89842 91872 102234 111528 134763 136312 148704 153351 179684 204468 223056 269526 272624 306702 359368 404289 408936 446112 494131 539052 545248 613404 718736 808578 817872 988262 1078104 1226808 1437472 1482393 1617156 1635744 1976524 2156208 2453616 2964786 3234312 3953048 4312416 4447179 4907232 5929572 6468624 7906096 8894358 11859144 12937248 15812192 17788716 23718288 35577432 47436576 71154864 142309728