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142741632 = 2731147719
BaseRepresentation
bin10001000001000…
…01000010000000
3100221121000201010
420200201002000
5243020213012
622055240520
73352166235
oct1040410200
9327530633
10142741632
11736349a0
123b979140
132375a207
1414d5978c
15c7e8c3c
hex8821080

142741632 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 42275840.

The previous prime is 142741619. The next prime is 142741637. The reversal of 142741632 is 236147241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 142741632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142741637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198169 + ... + 198887.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2142741632 is an apocalyptic number.

142741632 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 142741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

142741632 is an abundant number, since it is smaller than the sum of its proper divisors (280272768).

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

142741632 is a wasteful number, since it uses less digits than its factorization.

142741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 142741632 is about 11947.4529503154. The cubic root of 142741632 is about 522.6170240694.

Adding to 142741632 its reverse (236147241), we get a palindrome (378888873).

The spelling of 142741632 in words is "one hundred forty-two million, seven hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 264 282 352 376 384 517 528 564 704 719 752 1034 1056 1128 1408 1438 1504 1551 2068 2112 2157 2256 2876 3008 3102 4136 4224 4314 4512 5752 6016 6204 7909 8272 8628 9024 11504 12408 15818 16544 17256 18048 23008 23727 24816 31636 33088 33793 34512 46016 47454 49632 63272 66176 67586 69024 92032 94908 99264 101379 126544 135172 138048 189816 198528 202758 253088 270344 276096 371723 379632 405516 506176 540688 743446 759264 811032 1012352 1081376 1115169 1486892 1518528 1622064 2162752 2230338 2973784 3037056 3244128 4325504 4460676 5947568 6488256 8921352 11895136 12976512 17842704 23790272 35685408 47580544 71370816 142741632