Search a number
-
+
54140136 = 23331531373
BaseRepresentation
bin1100111010000…
…1110011101000
310202212121022020
43032201303220
5102324441021
65212224440
71225116651
oct316416350
9122777266
1054140136
1128619316
121616b120
13b2a79ab
147294528
154b467c6
hex33a1ce8

54140136 has 64 divisors (see below), whose sum is σ = 142456320. Its totient is φ = 17122560.

The previous prime is 54140117. The next prime is 54140143. The reversal of 54140136 is 63104145.

54140136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38746 + ... + 40118.

It is an arithmetic number, because the mean of its divisors is an integer number (2225880).

Almost surely, 254140136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54140136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71228160).

54140136 is an abundant number, since it is smaller than the sum of its proper divisors (88316184).

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

54140136 is a wasteful number, since it uses less digits than its factorization.

54140136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54140136 is about 7357.9980973088. The cubic root of 54140136 is about 378.3029960516.

The spelling of 54140136 in words is "fifty-four million, one hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1373 1643 2746 3286 4119 4929 5492 6572 8238 9858 10984 13144 16476 19716 32952 39432 42563 72769 85126 127689 145538 170252 218307 255378 291076 340504 436614 510756 582152 873228 1021512 1746456 2255839 4511678 6767517 9023356 13535034 18046712 27070068 54140136