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61204160 = 265193991
BaseRepresentation
bin1110100101111…
…0011011000000
311021011111022202
43221132123000
5111132013120
610023452332
71342140533
oct351363300
9137144282
1061204160
1131603656
12185b70a8
13c8ac0a4
1481b2a1a
15558e875
hex3a5e6c0

61204160 has 56 divisors (see below), whose sum is σ = 146645376. Its totient is φ = 24330240.

The previous prime is 61204153. The next prime is 61204163. The reversal of 61204160 is 6140216.

61204160 = T359 + T360 + ... + T744.

It is a happy number.

61204160 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 (20).

It is not an unprimeable number, because it can be changed into a prime (61204163) 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, 61265 + ... + 62255.

Almost surely, 261204160 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 61204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322688).

61204160 is an abundant number, since it is smaller than the sum of its proper divisors (85441216).

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

61204160 is a wasteful number, since it uses less digits than its factorization.

61204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 61204160 is about 7823.3087629212. The cubic root of 61204160 is about 394.0883960836.

Adding to 61204160 its reverse (6140216), we get a palindrome (67344376).

The spelling of 61204160 in words is "sixty-one million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 320 386 772 965 991 1544 1930 1982 3088 3860 3964 4955 6176 7720 7928 9910 12352 15440 15856 19820 30880 31712 39640 61760 63424 79280 158560 191263 317120 382526 765052 956315 1530104 1912630 3060208 3825260 6120416 7650520 12240832 15301040 30602080 61204160