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58306640 = 2457104119
BaseRepresentation
bin1101111001101…
…1000001010000
311001201021200012
43132123001100
5104411303030
65441414052
71305412130
oct336330120
9131637605
1058306640
112aa04707
121763a328
13c106292
147a5aac0
1551bb095
hex379b050

58306640 has 40 divisors (see below), whose sum is σ = 154930560. Its totient is φ = 19990656.

The previous prime is 58306637. The next prime is 58306669. The reversal of 58306640 is 4660385.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 58306597 and 58306606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51500 + ... + 52619.

It is an arithmetic number, because the mean of its divisors is an integer number (3873264).

Almost surely, 258306640 is an apocalyptic number.

It is an amenable number.

58306640 is an abundant number, since it is smaller than the sum of its proper divisors (96623920).

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

58306640 is a wasteful number, since it uses less digits than its factorization.

58306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104139 (or 104133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 58306640 is about 7635.8784694362. The cubic root of 58306640 is about 387.7686295497.

The spelling of 58306640 in words is "fifty-eight million, three hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 104119 208238 416476 520595 728833 832952 1041190 1457666 1665904 2082380 2915332 3644165 4164760 5830664 7288330 8329520 11661328 14576660 29153320 58306640