Search a number
-
+
53628140 = 22531671291
BaseRepresentation
bin1100110010010…
…0110011101100
310201220120222102
43030210303230
5102212100030
65153234232
71220555156
oct314446354
9121816872
1053628140
11282a9685
1215b62978
13b158937
14719dad6
154a94c45
hex3324cec

53628140 has 48 divisors (see below), whose sum is σ = 118078464. Its totient is φ = 20433600.

The previous prime is 53628139. The next prime is 53628167. The reversal of 53628140 is 4182635.

53628140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 40895 + ... + 42185.

It is an arithmetic number, because the mean of its divisors is an integer number (2459968).

Almost surely, 253628140 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 53628140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59039232).

53628140 is an abundant number, since it is smaller than the sum of its proper divisors (64450324).

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

53628140 is a wasteful number, since it uses less digits than its factorization.

53628140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 53628140 is about 7323.1236504650. The cubic root of 53628140 is about 377.1066967878.

The spelling of 53628140 in words is "fifty-three million, six hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 1291 1340 2077 2582 4154 5164 6455 8308 10385 12910 20770 25820 40021 41540 80042 86497 160084 172994 200105 345988 400210 432485 800420 864970 1729940 2681407 5362814 10725628 13407035 26814070 53628140