Search a number
-
+
20141064 = 23321914723
BaseRepresentation
bin100110011010…
…1010000001000
31101220021100100
41030311100020
520124003224
61555405400
7333124206
oct114652010
941807310
1020141064
1110407309
1268b3860
1342326b8
142964076
151b7cac9
hex1335408

20141064 has 48 divisors (see below), whose sum is σ = 57423600. Its totient is φ = 6359904.

The previous prime is 20141063. The next prime is 20141081. The reversal of 20141064 is 46014102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20141063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5994 + ... + 8729.

It is an arithmetic number, because the mean of its divisors is an integer number (1196325).

Almost surely, 220141064 is an apocalyptic number.

20141064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20141064 is an abundant number, since it is smaller than the sum of its proper divisors (37282536).

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

20141064 is a wasteful number, since it uses less digits than its factorization.

20141064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20141064 is about 4487.8796775315. The cubic root of 20141064 is about 272.0784447907.

Adding to 20141064 its reverse (46014102), we get a palindrome (66155166).

The spelling of 20141064 in words is "twenty million, one hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 14723 29446 44169 58892 88338 117784 132507 176676 265014 279737 353352 530028 559474 839211 1060056 1118948 1678422 2237896 2517633 3356844 5035266 6713688 10070532 20141064