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141268736 = 287312543
BaseRepresentation
bin10000110101110…
…01011100000000
3100211211012021102
420122321130000
5242131044421
622003513532
73333523130
oct1032713400
9324735242
10141268736
1172819324
123b3888a8
132336298b
1414a94ac0
15c60760b
hex86b9700

141268736 has 72 divisors (see below), whose sum is σ = 332795904. Its totient is φ = 58567680.

The previous prime is 141268727. The next prime is 141268747. The reversal of 141268736 is 637862141.

It is a self number, because there is not a number n which added to its sum of digits gives 141268736.

It is a congruent number.

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, 54281 + ... + 56823.

Almost surely, 2141268736 is an apocalyptic number.

141268736 is a gapful number since it is divisible by the number (16) 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 141268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166397952).

141268736 is an abundant number, since it is smaller than the sum of its proper divisors (191527168).

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

141268736 is an equidigital number, since it uses as much as digits as its factorization.

141268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2583 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 141268736 is about 11885.6525273121. The cubic root of 141268736 is about 520.8132442442.

The spelling of 141268736 in words is "one hundred forty-one million, two hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 2543 3472 3968 5086 6944 7936 10172 13888 17801 20344 27776 35602 40688 55552 71204 78833 81376 142408 157666 162752 284816 315332 325504 551831 569632 630664 651008 1103662 1139264 1261328 2207324 2278528 2522656 4414648 4557056 5045312 8829296 10090624 17658592 20181248 35317184 70634368 141268736