Search a number
-
+
61203680 = 2551792137
BaseRepresentation
bin1110100101111…
…0010011100000
311021011110122222
43221132103200
5111132004210
610023450212
71342136246
oct351362340
9137143588
1061203680
113160325a
12185b6968
13c8abac5
1481b2796
15558e655
hex3a5e4e0

61203680 has 48 divisors (see below), whose sum is σ = 145469520. Its totient is φ = 24333312.

The previous prime is 61203673. The next prime is 61203683. The reversal of 61203680 is 8630216.

61203680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61203683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27572 + ... + 29708.

It is an arithmetic number, because the mean of its divisors is an integer number (3030615).

Almost surely, 261203680 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 61203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72734760).

61203680 is an abundant number, since it is smaller than the sum of its proper divisors (84265840).

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

61203680 is a wasteful number, since it uses less digits than its factorization.

61203680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 61203680 is about 7823.2780853041. The cubic root of 61203680 is about 394.0873658545.

Adding to 61203680 its reverse (8630216), we get a palindrome (69833896).

The spelling of 61203680 in words is "sixty-one million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2137 2864 3580 4274 5728 7160 8548 10685 14320 17096 21370 28640 34192 42740 68384 85480 170960 341920 382523 765046 1530092 1912615 3060184 3825230 6120368 7650460 12240736 15300920 30601840 61203680