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106549940 = 22574716193
BaseRepresentation
bin1100101100111…
…01001010110100
321102111022001002
412112131022310
5204234044230
614323422432
72432442140
oct626351264
9242438032
10106549940
1155165602
122b824a18
13190c7c03
1410218220
15954a545
hex659d2b4

106549940 has 48 divisors (see below), whose sum is σ = 261176832. Its totient is φ = 35751936.

The previous prime is 106549921. The next prime is 106550023. The reversal of 106549940 is 49945601.

It is a super-2 number, since 2×1065499402 = 22705779428007200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106549894 and 106549903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (5441184).

Almost surely, 2106549940 is an apocalyptic number.

106549940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106549940 is an abundant number, since it is smaller than the sum of its proper divisors (154626892).

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

106549940 is a wasteful number, since it uses less digits than its factorization.

106549940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16256 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 106549940 is about 10322.3030375978. The cubic root of 106549940 is about 474.0793839993.

The spelling of 106549940 in words is "one hundred six million, five hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 16193 32386 64772 80965 113351 161930 226702 323860 453404 566755 761071 1133510 1522142 2267020 3044284 3805355 5327497 7610710 10654994 15221420 21309988 26637485 53274970 106549940