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116835642 = 23371128099
BaseRepresentation
bin1101111011011…
…00010100111010
322010211212101000
412331230110322
5214402220032
615332105430
72616041460
oct675542472
9263755330
10116835642
115aa50390
1233165276
131b289821
1411734830
15a3cce7c
hex6f6c53a

116835642 has 64 divisors (see below), whose sum is σ = 323712000. Its totient is φ = 30345840.

The previous prime is 116835619. The next prime is 116835647. The reversal of 116835642 is 246538611.

It is a happy number.

116835642 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 3 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116835597 and 116835606.

It is not an unprimeable number, because it can be changed into a prime (116835647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9892 + ... + 18207.

It is an arithmetic number, because the mean of its divisors is an integer number (5058000).

Almost surely, 2116835642 is an apocalyptic number.

116835642 is an abundant number, since it is smaller than the sum of its proper divisors (206876358).

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

116835642 is a wasteful number, since it uses less digits than its factorization.

116835642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28128 (or 28122 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116835642 is about 10809.0537051122. The cubic root of 116835642 is about 488.8681943681.

The spelling of 116835642 in words is "one hundred sixteen million, eight hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 28099 56198 84297 168594 196693 252891 309089 393386 505782 590079 618178 758673 927267 1180158 1517346 1770237 1854534 2163623 2781801 3540474 4327246 5310711 5563602 6490869 8345403 10621422 12981738 16690806 19472607 38945214 58417821 116835642