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106427340 = 223253119073
BaseRepresentation
bin1100101011111…
…11001111001100
321102021001212100
412111333033030
5204221133330
614321035100
72431421535
oct625771714
9242231770
10106427340
1155091488
122b785a90
1319084176
14101c568c
159524060
hex657f3cc

106427340 has 72 divisors (see below), whose sum is σ = 333260928. Its totient is φ = 27463680.

The previous prime is 106427323. The next prime is 106427359. The reversal of 106427340 is 43724601.

106427340 is a `hidden beast` number, since 10 + 642 + 7 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×1064273402 = 22653557398951200, 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, 3957 + ... + 15116.

It is an arithmetic number, because the mean of its divisors is an integer number (4628624).

Almost surely, 2106427340 is an apocalyptic number.

106427340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106427340 is an abundant number, since it is smaller than the sum of its proper divisors (226833588).

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

106427340 is a wasteful number, since it uses less digits than its factorization.

106427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 106427340 is about 10316.3627311180. The cubic root of 106427340 is about 473.8974835710.

The spelling of 106427340 in words is "one hundred six million, four hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 19073 38146 57219 76292 95365 114438 171657 190730 228876 286095 343314 381460 572190 591263 686628 858285 1144380 1182526 1716570 1773789 2365052 2956315 3433140 3547578 5321367 5912630 7095156 8868945 10642734 11825260 17737890 21285468 26606835 35475780 53213670 106427340