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105414650 = 252111371399
BaseRepresentation
bin1100100100001…
…11111111111010
321100100121201022
412102013333322
5203441232100
614243222442
72420003225
oct622077772
9240317638
10105414650
115455a650
122b377a22
1318abb243
14100005bc
1593c3e85
hex6487ffa

105414650 has 48 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 38025600.

The previous prime is 105414613. The next prime is 105414689. The reversal of 105414650 is 56414501.

It is a super-2 number, since 2×1054146502 = 22224496869245000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74651 + ... + 76049.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2105414650 is an apocalyptic number.

105414650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105414650 is an abundant number, since it is smaller than the sum of its proper divisors (110196550).

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

105414650 is a wasteful number, since it uses less digits than its factorization.

105414650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105414650 is about 10267.1636784460. The cubic root of 105414650 is about 472.3895956228.

The spelling of 105414650 in words is "one hundred five million, four hundred fourteen thousand, six hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 137 274 275 550 685 1370 1399 1507 2798 3014 3425 6850 6995 7535 13990 15070 15389 30778 34975 37675 69950 75350 76945 153890 191663 383326 384725 769450 958315 1916630 2108293 4216586 4791575 9583150 10541465 21082930 52707325 105414650