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73086741 = 32713233383
BaseRepresentation
bin1000101101100…
…11011100010101
312002112012011100
410112303130111
5122202233431
611130300313
71545140610
oct426633425
9162465140
1073086741
113828a172
1220587699
13121ac7c0
1499c7177
15663a4e6
hex45b3715

73086741 has 48 divisors (see below), whose sum is σ = 130830336. Its totient is φ = 38285568.

The previous prime is 73086721. The next prime is 73086751. The reversal of 73086741 is 14768037.

It is not a de Polignac number, because 73086741 - 29 = 73086229 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73086696 and 73086705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73086701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190636 + ... + 191018.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 273086741 is an apocalyptic number.

It is an amenable number.

73086741 is a deficient number, since it is larger than the sum of its proper divisors (57743595).

73086741 is a wasteful number, since it uses less digits than its factorization.

73086741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73086741 is about 8549.0783713802. The cubic root of 73086741 is about 418.0993883915.

The spelling of 73086741 in words is "seventy-three million, eighty-six thousand, seven hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 233 273 383 699 819 1149 1631 2097 2681 3029 3447 4893 4979 8043 9087 14679 14937 21203 24129 27261 34853 44811 63609 89239 104559 190827 267717 313677 624673 803151 1160107 1874019 3480321 5622057 8120749 10440963 24362247 73086741