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61199940 = 223510110099
BaseRepresentation
bin1110100101110…
…1011001000100
311021011021112110
43221131121010
5111131344230
610023421020
71342122324
oct351353104
9137137473
1061199940
113160046a
12185b4770
13c8aa1a9
1481b1284
15558d4b0
hex3a5d644

61199940 has 48 divisors (see below), whose sum is σ = 173073600. Its totient is φ = 16156800.

The previous prime is 61199923. The next prime is 61199959. The reversal of 61199940 is 4999116.

61199940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1011 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (3605700).

Almost surely, 261199940 is an apocalyptic number.

61199940 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 61199940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86536800).

61199940 is an abundant number, since it is smaller than the sum of its proper divisors (111873660).

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

61199940 is a wasteful number, since it uses less digits than its factorization.

61199940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 61199940 is about 7823.0390514173. The cubic root of 61199940 is about 394.0793384681.

The spelling of 61199940 in words is "sixty-one million, one hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 10099 20198 30297 40396 50495 60594 100990 121188 151485 201980 302970 605940 1019999 2039998 3059997 4079996 5099995 6119994 10199990 12239988 15299985 20399980 30599970 61199940