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117857106 = 2342347673
BaseRepresentation
bin1110000011001…
…01101101010010
322012202202120000
413001211231102
5220132411411
615410030430
72630524503
oct701455522
9265682500
10117857106
1160588874
1233578416
131b556743
141191cbaa
15a530956
hex7065b52

117857106 has 80 divisors (see below), whose sum is σ = 281850624. Its totient is φ = 36723456.

The previous prime is 117857081. The next prime is 117857111. The reversal of 117857106 is 601758711.

It is a happy number.

117857106 is a `hidden beast` number, since 11 + 78 + 571 + 0 + 6 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 174786 + ... + 175458.

Almost surely, 2117857106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117857106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140925312).

117857106 is an abundant number, since it is smaller than the sum of its proper divisors (163993518).

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

117857106 is a wasteful number, since it uses less digits than its factorization.

117857106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 117857106 is about 10856.2012693207. The cubic root of 117857106 is about 490.2887455451.

The spelling of 117857106 in words is "one hundred seventeen million, eight hundred fifty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 81 94 138 141 162 207 282 414 423 621 673 846 1081 1242 1269 1346 1863 2019 2162 2538 3243 3726 3807 4038 6057 6486 7614 9729 12114 15479 18171 19458 29187 30958 31631 36342 46437 54513 58374 63262 87561 92874 94893 109026 139311 175122 189786 278622 284679 417933 569358 727513 835866 854037 1253799 1455026 1708074 2182539 2507598 2562111 4365078 5124222 6547617 13095234 19642851 39285702 58928553 117857106