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142533864 = 233311239251
BaseRepresentation
bin10000111111011…
…10010011101000
3100221012110201000
420133232103220
5242442040424
622050555000
73350342424
oct1037562350
9327173630
10142533864
1173502890
123b898a60
13236b6785
1414d03b84
15c7a73c9
hex87ee4e8

142533864 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 42840000.

The previous prime is 142533851. The next prime is 142533871. The reversal of 142533864 is 468335241.

142533864 is a `hidden beast` number, since 1 + 42 + 533 + 86 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567739 + ... + 567989.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2142533864 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 142533864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

142533864 is an abundant number, since it is smaller than the sum of its proper divisors (292922136).

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

142533864 is a wasteful number, since it uses less digits than its factorization.

142533864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 142533864 is about 11938.7547089301. The cubic root of 142533864 is about 522.3633353644.

The spelling of 142533864 in words is "one hundred forty-two million, five hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 239 251 264 297 396 478 502 594 717 753 792 956 1004 1188 1434 1506 1912 2008 2151 2259 2376 2629 2761 2868 3012 4302 4518 5258 5522 5736 6024 6453 6777 7887 8283 8604 9036 10516 11044 12906 13554 15774 16566 17208 18072 21032 22088 23661 24849 25812 27108 31548 33132 47322 49698 51624 54216 59989 63096 66264 70983 74547 94644 99396 119978 141966 149094 179967 189288 198792 239956 283932 298188 359934 479912 539901 567864 596376 659879 719868 1079802 1319758 1439736 1619703 1979637 2159604 2639516 3239406 3959274 4319208 5279032 5938911 6478812 7918548 11877822 12957624 15837096 17816733 23755644 35633466 47511288 71266932 142533864