Search a number
-
+
61836040 = 235734507
BaseRepresentation
bin1110101111100…
…0101100001000
311022100121002201
43223320230020
5111312223130
610045205544
71350412000
oct353705410
9138317081
1061836040
11319a5372
12188608b4
13ca70896
1482d9000
155666bca
hex3af8b08

61836040 has 64 divisors (see below), whose sum is σ = 162288000. Its totient is φ = 21196224.

The previous prime is 61836031. The next prime is 61836053. The reversal of 61836040 is 4063816.

61836040 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 (28).

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, 11467 + ... + 15973.

It is an arithmetic number, because the mean of its divisors is an integer number (2535750).

Almost surely, 261836040 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 61836040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81144000).

61836040 is an abundant number, since it is smaller than the sum of its proper divisors (100451960).

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

61836040 is a wasteful number, since it uses less digits than its factorization.

61836040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61836040 is about 7863.5895111584. The cubic root of 61836040 is about 395.4399626935.

Adding to 61836040 its reverse (4063816), we get a palindrome (65899856).

The spelling of 61836040 in words is "sixty-one million, eight hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 4507 6860 9014 13720 18028 22535 31549 36056 45070 63098 90140 126196 157745 180280 220843 252392 315490 441686 630980 883372 1104215 1261960 1545901 1766744 2208430 3091802 4416860 6183604 7729505 8833720 12367208 15459010 30918020 61836040