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61199000 = 2353193221
BaseRepresentation
bin1110100101110…
…1001010011000
311021011020020122
43221131022120
5111131332000
610023412412
71342116512
oct351351230
9137136218
1061199000
11315aa795
12185b4108
13c8a9935
1481b0bb2
15558d085
hex3a5d298

61199000 has 64 divisors (see below), whose sum is σ = 150789600. Its totient is φ = 23184000.

The previous prime is 61198993. The next prime is 61199003. The reversal of 61199000 is 99116.

61199000 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 (61199003) 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 15 ways as a sum of consecutive naturals, for example, 17390 + ... + 20610.

Almost surely, 261199000 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 61199000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75394800).

61199000 is an abundant number, since it is smaller than the sum of its proper divisors (89590600).

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

61199000 is a wasteful number, since it uses less digits than its factorization.

61199000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 61199000 is about 7822.9789722330. The cubic root of 61199000 is about 394.0773208382.

The spelling of 61199000 in words is "sixty-one million, one hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3221 3800 4750 6442 9500 12884 16105 19000 25768 32210 61199 64420 80525 122398 128840 161050 244796 305995 322100 402625 489592 611990 644200 805250 1223980 1529975 1610500 2447960 3059950 3221000 6119900 7649875 12239800 15299750 30599500 61199000