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61141050 = 23252197151
BaseRepresentation
bin1110100100111…
…1000000111010
311021001021202100
43221033000322
5111123003200
610022244230
71341455535
oct351170072
9137037670
1061141050
11315701a3
1218586676
13c889449
148197a1c
15557ad00
hex3a4f03a

61141050 has 72 divisors (see below), whose sum is σ = 172935360. Its totient is φ = 15444000.

The previous prime is 61141039. The next prime is 61141079. The reversal of 61141050 is 5014116.

61141050 is a `hidden beast` number, since 611 + 4 + 1 + 0 + 50 = 666.

61141050 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 (18).

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 35 ways as a sum of consecutive naturals, for example, 4975 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (2401880).

Almost surely, 261141050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61141050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86467680).

61141050 is an abundant number, since it is smaller than the sum of its proper divisors (111794310).

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

61141050 is a wasteful number, since it uses less digits than its factorization.

61141050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 61141050 is about 7819.2742629991. The cubic root of 61141050 is about 393.9528961871.

Adding to 61141050 its reverse (5014116), we get a palindrome (66155166).

The spelling of 61141050 in words is "sixty-one million, one hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 7151 8550 14302 21453 35755 42906 64359 71510 107265 128718 135869 178775 214530 271738 321795 357550 407607 536325 643590 679345 815214 1072650 1222821 1358690 1608975 2038035 2445642 3217950 3396725 4076070 6114105 6793450 10190175 12228210 20380350 30570525 61141050