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105471393 = 33141139199
BaseRepresentation
bin1100100100101…
…01110110100001
321100110111112220
412102111312201
5204000041033
614244341253
72420330526
oct622256641
9240414486
10105471393
1154599245
122b3a4829
1318b0b011
141001714d
1593d5bb3
hex6495da1

105471393 has 32 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 65577600.

The previous prime is 105471391. The next prime is 105471397. The reversal of 105471393 is 393174501.

It is not a de Polignac number, because 105471393 - 21 = 105471391 is a prime.

It is a super-2 number, since 2×1054713932 = 22248429482720898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105471391) 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 31 ways as a sum of consecutive naturals, for example, 529908 + ... + 530106.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2105471393 is an apocalyptic number.

It is an amenable number.

105471393 is a deficient number, since it is larger than the sum of its proper divisors (45056607).

105471393 is a wasteful number, since it uses less digits than its factorization.

105471393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105471393 is about 10269.9266307019. The cubic root of 105471393 is about 472.4743403103.

The spelling of 105471393 in words is "one hundred five million, four hundred seventy-one thousand, three hundred ninety-three".

Divisors: 1 3 31 41 93 123 139 199 417 597 1271 3813 4309 5699 6169 8159 12927 17097 18507 24477 27661 82983 176669 252929 530007 758787 857491 1134101 2572473 3402303 35157131 105471393