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71214633 = 347296171
BaseRepresentation
bin1000011111010…
…10011000101001
311222000002010000
410033222120221
5121212332013
611022213213
71523212560
oct417523051
9158002100
1071214633
1137220676
121ba24209
13119a5649
14965abd7
1563ba973
hex43ea629

71214633 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 38102400.

The previous prime is 71214623. The next prime is 71214653. The reversal of 71214633 is 33641217.

71214633 is a `hidden beast` number, since 7 + 1 + 21 + 4 + 633 = 666.

It is not a de Polignac number, because 71214633 - 225 = 37660201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71214597 and 71214606.

It is not an unprimeable number, because it can be changed into a prime (71214623) 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 79 ways as a sum of consecutive naturals, for example, 1002988 + ... + 1003058.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 271214633 is an apocalyptic number.

It is an amenable number.

71214633 is a deficient number, since it is larger than the sum of its proper divisors (58419927).

71214633 is a wasteful number, since it uses less digits than its factorization.

71214633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 71214633 is about 8438.8762877530. The cubic root of 71214633 is about 414.4986115935.

The spelling of 71214633 in words is "seventy-one million, two hundred fourteen thousand, six hundred thirty-three".

Divisors: 1 3 7 9 21 27 29 61 63 71 81 87 183 189 203 213 261 427 497 549 567 609 639 783 1281 1491 1647 1769 1827 1917 2059 2349 3843 4331 4473 4941 5307 5481 5751 6177 11529 12383 12993 13419 14413 15921 16443 18531 30317 34587 37149 38979 40257 43239 47763 55593 90951 111447 116937 125599 129717 143289 166779 272853 334341 350811 376797 389151 818559 879193 1003023 1130391 1167453 2455677 2637579 3391173 7912737 10173519 23738211 71214633