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107087541 = 3112295007
BaseRepresentation
bin1100110001000…
…00011010110101
321110111121111020
412120200122311
5204403300131
614343131353
72440141401
oct630403265
9243447436
10107087541
11554a2500
122ba43b59
1319255812
1410318101
159604996
hex66206b5

107087541 has 12 divisors (see below), whose sum is σ = 156944256. Its totient is φ = 64901320.

The previous prime is 107087527. The next prime is 107087593. The reversal of 107087541 is 145780701.

It is not a de Polignac number, because 107087541 - 27 = 107087413 is a prime.

It is a super-2 number, since 2×1070875412 = 22935482874853362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107087521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147141 + ... + 147866.

It is an arithmetic number, because the mean of its divisors is an integer number (13078688).

Almost surely, 2107087541 is an apocalyptic number.

107087541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107087541 is a deficient number, since it is larger than the sum of its proper divisors (49856715).

107087541 is a wasteful number, since it uses less digits than its factorization.

107087541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295032 (or 295021 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 107087541 is about 10348.3110216112. The cubic root of 107087541 is about 474.8753741376.

It can be divided in two parts, 1070875 and 41, that added together give a triangular number (1070916 = T1463).

The spelling of 107087541 in words is "one hundred seven million, eighty-seven thousand, five hundred forty-one".

Divisors: 1 3 11 33 121 363 295007 885021 3245077 9735231 35695847 107087541