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61356141 = 32711294371
BaseRepresentation
bin1110101000001…
…1100001101101
311021110012210200
43222003201231
5111201344031
610031024113
71343342610
oct352034155
9137405720
1061356141
11316a7860
121866b039
13c933312
148212177
1555be8e6
hex3a8386d

61356141 has 96 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 29635200.

The previous prime is 61356137. The next prime is 61356143. The reversal of 61356141 is 14165316.

61356141 is a `hidden beast` number, since 61 + 3 + 561 + 41 = 666.

61356141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61356141 - 22 = 61356137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61356143) 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 95 ways as a sum of consecutive naturals, for example, 864136 + ... + 864206.

It is an arithmetic number, because the mean of its divisors is an integer number (1235520).

Almost surely, 261356141 is an apocalyptic number.

It is an amenable number.

61356141 is a deficient number, since it is larger than the sum of its proper divisors (57253779).

61356141 is a wasteful number, since it uses less digits than its factorization.

61356141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 61356141 is about 7833.0160857744. The cubic root of 61356141 is about 394.4143240433.

The spelling of 61356141 in words is "sixty-one million, three hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 29 33 43 63 71 77 87 99 129 203 213 231 261 301 319 387 473 497 609 639 693 781 903 957 1247 1419 1491 1827 2059 2233 2343 2709 2871 3053 3311 3741 4257 4473 5467 6177 6699 7029 8729 9159 9933 11223 13717 14413 16401 18531 20097 21371 22649 26187 27477 29799 33583 41151 43239 49203 64113 67947 78561 88537 96019 100749 123453 129717 158543 192339 203841 235081 265611 288057 302247 475629 619759 705243 796833 864171 973907 1426887 1859277 2115729 2921721 5577831 6817349 8765163 20452047 61356141