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142109568 = 2732281439
BaseRepresentation
bin10000111100001…
…10101110000000
3100220101220200100
420132012232000
5242340001233
622033522400
73343624416
oct1036065600
9326356610
10142109568
1173243027
123b713400
1323598603
1414c332b6
15c721813
hex8786b80

142109568 has 96 divisors (see below), whose sum is σ = 411325200. Its totient is φ = 47093760.

The previous prime is 142109557. The next prime is 142109603. The reversal of 142109568 is 865901241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323493 + ... + 323931.

Almost surely, 2142109568 is an apocalyptic number.

142109568 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 142109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205662600).

142109568 is an abundant number, since it is smaller than the sum of its proper divisors (269215632).

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

142109568 is a wasteful number, since it uses less digits than its factorization.

142109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 142109568 is about 11920.9717724689. The cubic root of 142109568 is about 521.8444950102.

The spelling of 142109568 in words is "one hundred forty-two million, one hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 281 288 384 439 562 576 843 878 1124 1152 1317 1686 1756 2248 2529 2634 3372 3512 3951 4496 5058 5268 6744 7024 7902 8992 10116 10536 13488 14048 15804 17984 20232 21072 26976 28096 31608 35968 40464 42144 53952 56192 63216 80928 84288 107904 123359 126432 161856 168576 246718 252864 323712 370077 493436 505728 740154 986872 1110231 1480308 1973744 2220462 2960616 3947488 4440924 5921232 7894976 8881848 11842464 15789952 17763696 23684928 35527392 47369856 71054784 142109568