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106724387 = 7111972949
BaseRepresentation
bin1100101110001…
…11110000100011
321102211011100002
412113013300203
5204310140022
614331250215
72434066550
oct627076043
9242734302
10106724387
1155274680
122b8a996b
1319159433
1410261a27
159582092
hex65c7c23

106724387 has 16 divisors (see below), whose sum is σ = 140064000. Its totient is φ = 78783840.

The previous prime is 106724383. The next prime is 106724461. The reversal of 106724387 is 783427601.

It is a cyclic number.

It is not a de Polignac number, because 106724387 - 22 = 106724383 is a prime.

It is a super-2 number, since 2×1067243872 = 22780189561051538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106724387.

It is not an unprimeable number, because it can be changed into a prime (106724381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35012 + ... + 37937.

It is an arithmetic number, because the mean of its divisors is an integer number (8754000).

Almost surely, 2106724387 is an apocalyptic number.

106724387 is a deficient number, since it is larger than the sum of its proper divisors (33339613).

106724387 is a wasteful number, since it uses less digits than its factorization.

106724387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72986.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 106724387 is about 10330.7495855819. The cubic root of 106724387 is about 474.3379689512.

The spelling of 106724387 in words is "one hundred six million, seven hundred twenty-four thousand, three hundred eighty-seven".

Divisors: 1 7 11 19 77 133 209 1463 72949 510643 802439 1386031 5617073 9702217 15246341 106724387