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61640200 = 2352311991
BaseRepresentation
bin1110101100100…
…0111000001000
311021222122110101
43223020320020
5111234441300
610041055144
71345635016
oct353107010
9137878411
1061640200
1131881216
12187874b4
13ca026bb
1482878b6
155628b6a
hex3ac8e08

61640200 has 48 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 24552000.

The previous prime is 61640177. The next prime is 61640203. The reversal of 61640200 is 204616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61640203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61705 + ... + 62695.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 261640200 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 61640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

61640200 is an abundant number, since it is smaller than the sum of its proper divisors (82279160).

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

61640200 is a wasteful number, since it uses less digits than its factorization.

61640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 61640200 is about 7851.1273075909. The cubic root of 61640200 is about 395.0220571991.

Adding to 61640200 its reverse (204616), we get a palindrome (61844816).

The spelling of 61640200 in words is "sixty-one million, six hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 622 991 1244 1555 1982 2488 3110 3964 4955 6220 7775 7928 9910 12440 15550 19820 24775 31100 39640 49550 62200 99100 198200 308201 616402 1232804 1541005 2465608 3082010 6164020 7705025 12328040 15410050 30820100 61640200