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61330941 = 3273783317
BaseRepresentation
bin1110100111110…
…1010111111101
311021101221020100
43221331113331
5111200042231
610030311313
71343206260
oct351752775
9137357210
1061330941
113168a931
1218658539
13c9249c9
148206cd7
1555b71e6
hex3a7d5fd

61330941 has 48 divisors (see below), whose sum is σ = 105565824. Its totient is φ = 33581952.

The previous prime is 61330931. The next prime is 61330963. The reversal of 61330941 is 14903316.

61330941 is a `hidden beast` number, since 613 + 3 + 0 + 9 + 41 = 666.

It is not a de Polignac number, because 61330941 - 25 = 61330909 is a prime.

It is a super-2 number, since 2×613309412 = 7522968647890962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61330901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193315 + ... + 193631.

It is an arithmetic number, because the mean of its divisors is an integer number (2199288).

Almost surely, 261330941 is an apocalyptic number.

It is an amenable number.

61330941 is a deficient number, since it is larger than the sum of its proper divisors (44234883).

61330941 is a wasteful number, since it uses less digits than its factorization.

61330941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61330941 is about 7831.4073447880. The cubic root of 61330941 is about 394.3603191148.

The spelling of 61330941 in words is "sixty-one million, three hundred thirty thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 37 63 83 111 249 259 317 333 581 747 777 951 1743 2219 2331 2853 3071 5229 6657 9213 11729 19971 21497 26311 27639 35187 64491 78933 82103 105561 184177 193473 236799 246309 552531 738927 973507 1657593 2920521 6814549 8761563 20443647 61330941