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106838914 = 27213174933
BaseRepresentation
bin1100101111000…
…11101110000010
321110000222102211
412113203232002
5204322321124
614333532334
72435054500
oct627435602
9243028384
10106838914
1155342726
122b9440aa
13191995c0
1410291670
1595a5e94
hex65e3b82

106838914 has 48 divisors (see below), whose sum is σ = 212615928. Its totient is φ = 39771648.

The previous prime is 106838909. The next prime is 106838923. The reversal of 106838914 is 419838601.

It can be written as a sum of positive squares in 4 ways, for example, as 78907689 + 27931225 = 8883^2 + 5285^2 .

It is a super-2 number, since 2×1068389142 = 22829107089398792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19192 + ... + 24124.

Almost surely, 2106838914 is an apocalyptic number.

106838914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106838914 is a deficient number, since it is larger than the sum of its proper divisors (105777014).

106838914 is a wasteful number, since it uses less digits than its factorization.

106838914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 106838914 is about 10336.2911143214. The cubic root of 106838914 is about 474.5075805574.

The spelling of 106838914 in words is "one hundred six million, eight hundred thirty-eight thousand, nine hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 49 91 98 119 182 221 238 442 637 833 1274 1547 1666 3094 4933 9866 10829 21658 34531 64129 69062 83861 128258 167722 241717 448903 483434 587027 897806 1090193 1174054 2180386 3142321 4109189 6284642 7631351 8218378 15262702 53419457 106838914