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83730141 = 32111575387
BaseRepresentation
bin1001111110110…
…01111011011101
312211112221011100
410333121323131
5132413331031
612150343313
72034460125
oct477317335
9184487140
1083730141
1143299770
122405ab39
1314468181
14b197c85
15753dde6
hex4fd9edd

83730141 has 24 divisors (see below), whose sum is σ = 132803424. Its totient is φ = 50412960.

The previous prime is 83730137. The next prime is 83730167. The reversal of 83730141 is 14103738.

It is not a de Polignac number, because 83730141 - 22 = 83730137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83730121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (5533476).

Almost surely, 283730141 is an apocalyptic number.

It is an amenable number.

83730141 is a deficient number, since it is larger than the sum of its proper divisors (49073283).

83730141 is a wasteful number, since it uses less digits than its factorization.

83730141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83730141 is about 9150.4175314572. The cubic root of 83730141 is about 437.4824217155.

Adding to 83730141 its reverse (14103738), we get a palindrome (97833879).

The spelling of 83730141 in words is "eighty-three million, seven hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 5387 15543 16161 48483 59257 177771 533313 845759 2537277 7611831 9303349 27910047 83730141