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141130752 = 210376563
BaseRepresentation
bin10000110100101…
…11110000000000
3100211120011222220
420122113300000
5242112141002
622000531040
73332406630
oct1032276000
9324504886
10141130752
1172734694
123b320a80
1323314c29
1414a5a6c0
15c5cb7bc
hex8697c00

141130752 has 88 divisors (see below), whose sum is σ = 429968256. Its totient is φ = 40316928.

The previous prime is 141130741. The next prime is 141130807. The reversal of 141130752 is 257031141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18223 + ... + 24785.

Almost surely, 2141130752 is an apocalyptic number.

141130752 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 141130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214984128).

141130752 is an abundant number, since it is smaller than the sum of its proper divisors (288837504).

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

141130752 is an equidigital number, since it uses as much as digits as its factorization.

141130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 141130752 is about 11879.8464636543. The cubic root of 141130752 is about 520.6436211861.

Adding to 141130752 its reverse (257031141), we get a palindrome (398161893).

The spelling of 141130752 in words is "one hundred forty-one million, one hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 6563 7168 10752 13126 19689 21504 26252 39378 45941 52504 78756 91882 105008 137823 157512 183764 210016 275646 315024 367528 420032 551292 630048 735056 840064 1102584 1260096 1470112 1680128 2205168 2520192 2940224 3360256 4410336 5040384 5880448 6720512 8820672 10080768 11760896 17641344 20161536 23521792 35282688 47043584 70565376 141130752