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142247232 = 2633263313
BaseRepresentation
bin10000111101010…
…00010101000000
3100220122220112000
420132220111000
5242403402412
622040504000
73345036651
oct1036502500
9326586460
10142247232
11733274a6
123b77b000
132361617a
1414c6b528
15c74c4dc
hex87a8540

142247232 has 112 divisors (see below), whose sum is σ = 421111680. Its totient is φ = 47084544.

The previous prime is 142247227. The next prime is 142247269. The reversal of 142247232 is 232742241.

142247232 is a `hidden beast` number, since 1 + 422 + 4 + 7 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142247196 and 142247205.

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, 454308 + ... + 454620.

Almost surely, 2142247232 is an apocalyptic number.

142247232 is a gapful number since it is divisible by the number (12) 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 142247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210555840).

142247232 is an abundant number, since it is smaller than the sum of its proper divisors (278864448).

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

142247232 is a wasteful number, since it uses less digits than its factorization.

142247232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 142247232 is about 11926.7444007156. The cubic root of 142247232 is about 522.0129472281.

Adding to 142247232 its reverse (232742241), we get a palindrome (374989473).

The spelling of 142247232 in words is "one hundred forty-two million, two hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 263 288 313 432 526 576 626 789 864 939 1052 1252 1578 1728 1878 2104 2367 2504 2817 3156 3756 4208 4734 5008 5634 6312 7101 7512 8416 8451 9468 10016 11268 12624 14202 15024 16832 16902 18936 20032 22536 25248 28404 30048 33804 37872 45072 50496 56808 60096 67608 75744 82319 90144 113616 135216 151488 164638 180288 227232 246957 270432 329276 454464 493914 540864 658552 740871 987828 1317104 1481742 1975656 2222613 2634208 2963484 3951312 4445226 5268416 5926968 7902624 8890452 11853936 15805248 17780904 23707872 35561808 47415744 71123616 142247232