Search a number
-
+
61868124 = 2234257743
BaseRepresentation
bin1110110000000…
…0100001011100
311022102020010000
43230000201130
5111314234444
610050014300
71350604353
oct354004134
9138366100
1061868124
1131a1748a
1218877390
13ca82376
14830699a
155671469
hex3b0085c

61868124 has 60 divisors (see below), whose sum is σ = 162583344. Its totient is φ = 20514816.

The previous prime is 61868113. The next prime is 61868129. The reversal of 61868124 is 42186816.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61868129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82897 + ... + 83639.

Almost surely, 261868124 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 61868124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291672).

61868124 is an abundant number, since it is smaller than the sum of its proper divisors (100715220).

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

61868124 is a wasteful number, since it uses less digits than its factorization.

61868124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 61868124 is about 7865.6292818820. The cubic root of 61868124 is about 395.5083429999.

It can be divided in two parts, 6186812 and 4, that added together give a palindrome (6186816).

The spelling of 61868124 in words is "sixty-one million, eight hundred sixty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 514 743 771 1028 1486 1542 2229 2313 2972 3084 4458 4626 6687 6939 8916 9252 13374 13878 20061 20817 26748 27756 40122 41634 60183 80244 83268 120366 190951 240732 381902 572853 763804 1145706 1718559 2291412 3437118 5155677 6874236 10311354 15467031 20622708 30934062 61868124