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142436608 = 2817231423
BaseRepresentation
bin10000111110101…
…10100100000000
3100221000112021221
420133112210000
5242430432413
622044524424
73346456036
oct1037264400
9327015257
10142436608
1173446806
123b850714
1323681422
1414cba556
15c78868d
hex87d6900

142436608 has 72 divisors (see below), whose sum is σ = 314350848. Its totient is φ = 64069632.

The previous prime is 142436587. The next prime is 142436611. The reversal of 142436608 is 806634241.

142436608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 99385 + ... + 100807.

It is an arithmetic number, because the mean of its divisors is an integer number (4365984).

Almost surely, 2142436608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157175424).

142436608 is an abundant number, since it is smaller than the sum of its proper divisors (171914240).

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

142436608 is a wasteful number, since it uses less digits than its factorization.

142436608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 142436608 is about 11934.6808922568. The cubic root of 142436608 is about 522.2444992123.

The spelling of 142436608 in words is "one hundred forty-two million, four hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 736 782 1088 1423 1472 1564 2176 2846 2944 3128 4352 5692 5888 6256 11384 12512 22768 24191 25024 32729 45536 48382 50048 65458 91072 96764 100096 130916 182144 193528 261832 364288 387056 523664 556393 774112 1047328 1112786 1548224 2094656 2225572 3096448 4189312 4451144 6192896 8378624 8902288 17804576 35609152 71218304 142436608