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61000500 = 22353113697
BaseRepresentation
bin1110100010110…
…0101100110100
311020210010221210
43220230230310
5111104004000
610015241420
71340332011
oct350545464
9136703853
1061000500
1131484640
1218519270
13c83a492
14815c708
15554e350
hex3a2cb34

61000500 has 96 divisors (see below), whose sum is σ = 193834368. Its totient is φ = 14784000.

The previous prime is 61000493. The next prime is 61000517. The reversal of 61000500 is 500016.

61000500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610005002 = 7442122000500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14652 + ... + 18348.

It is an arithmetic number, because the mean of its divisors is an integer number (2019108).

Almost surely, 261000500 is an apocalyptic number.

61000500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96917184).

61000500 is an abundant number, since it is smaller than the sum of its proper divisors (132833868).

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

61000500 is a wasteful number, since it uses less digits than its factorization.

61000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 61000500 is about 7810.2816850610. The cubic root of 61000500 is about 393.6507938530.

Adding to 61000500 its reverse (500016), we get a palindrome (61500516).

The spelling of 61000500 in words is "sixty-one million, five hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 3697 4125 5500 7394 8250 11091 14788 16500 18485 22182 36970 40667 44364 55455 73940 81334 92425 110910 122001 162668 184850 203335 221820 244002 277275 369700 406670 462125 488004 554550 610005 813340 924250 1016675 1109100 1220010 1386375 1848500 2033350 2440020 2772750 3050025 4066700 5083375 5545500 6100050 10166750 12200100 15250125 20333500 30500250 61000500