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142005744 = 24331132909
BaseRepresentation
bin10000111011011…
…01010111110000
3100220012122021000
420131231113300
5242323140434
622031402000
73343012626
oct1035552760
9326178230
10142005744
1173182021
123b683300
132356028a
1414c07516
15c700b99
hex876d5f0

142005744 has 80 divisors (see below), whose sum is σ = 411357600. Its totient is φ = 46900224.

The previous prime is 142005727. The next prime is 142005767. The reversal of 142005744 is 447500241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47362 + ... + 50270.

It is an arithmetic number, because the mean of its divisors is an integer number (5141970).

Almost surely, 2142005744 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 142005744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205678800).

142005744 is an abundant number, since it is smaller than the sum of its proper divisors (269351856).

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

142005744 is a wasteful number, since it uses less digits than its factorization.

142005744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 142005744 is about 11916.6162982619. The cubic root of 142005744 is about 521.7173790497.

Adding to 142005744 its reverse (447500241), we get a palindrome (589505985).

The spelling of 142005744 in words is "one hundred forty-two million, five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 2909 3051 4068 5424 5818 6102 8136 8727 11636 12204 16272 17454 23272 24408 26181 34908 46544 48816 52362 69816 78543 104724 139632 157086 209448 314172 328717 418896 628344 657434 986151 1256688 1314868 1972302 2629736 2958453 3944604 5259472 5916906 7889208 8875359 11833812 15778416 17750718 23667624 35501436 47335248 71002872 142005744