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61800930 = 23256111257
BaseRepresentation
bin1110101111000…
…0000111100010
311022021210221100
43223300013202
5111310112210
610044335230
71350204432
oct353600742
9138253840
1061800930
1131980a54
1218844516
13ca5a8c9
1482ca2c2
15565b5c0
hex3af01e2

61800930 has 48 divisors (see below), whose sum is σ = 163331064. Its totient is φ = 16208640.

The previous prime is 61800923. The next prime is 61800941. The reversal of 61800930 is 3900816.

61800930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43678881 + 18122049 = 6609^2 + 4257^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61800894 and 61800903.

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 23 ways as a sum of consecutive naturals, for example, 139 + ... + 11118.

Almost surely, 261800930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61800930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81665532).

61800930 is an abundant number, since it is smaller than the sum of its proper divisors (101530134).

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

61800930 is a wasteful number, since it uses less digits than its factorization.

61800930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61800930 is about 7861.3567531311. The cubic root of 61800930 is about 395.3651059937.

The spelling of 61800930 in words is "sixty-one million, eight hundred thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 11257 22514 33771 56285 67542 101313 112570 168855 202626 337710 506565 686677 1013130 1373354 2060031 3433385 4120062 6180093 6866770 10300155 12360186 20600310 30900465 61800930