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116506593 = 36717279
BaseRepresentation
bin1101111000110…
…11111111100001
322010020011000000
412330123333201
5214311202333
615321050213
72613201240
oct674337741
9263204000
10116506593
115a846145
1233026969
131b1a2b18
141168a957
15a365713
hex6f1bfe1

116506593 has 84 divisors (see below), whose sum is σ = 214752640. Its totient is φ = 61865856.

The previous prime is 116506589. The next prime is 116506597. The reversal of 116506593 is 395605611.

116506593 is a `hidden beast` number, since 1 + 1 + 65 + 0 + 6 + 593 = 666.

It is an interprime number because it is at equal distance from previous prime (116506589) and next prime (116506597).

It is not a de Polignac number, because 116506593 - 22 = 116506589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116506597) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1474728 + ... + 1474806.

Almost surely, 2116506593 is an apocalyptic number.

It is an amenable number.

116506593 is a deficient number, since it is larger than the sum of its proper divisors (98246047).

116506593 is an frugal number, since it uses more digits than its factorization.

116506593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 116506593 is about 10793.8219829678. The cubic root of 116506593 is about 488.4088230149.

The spelling of 116506593 in words is "one hundred sixteen million, five hundred six thousand, five hundred ninety-three".

Divisors: 1 3 7 9 17 21 27 51 63 79 81 119 153 189 237 243 289 357 459 553 567 711 729 867 1071 1343 1377 1659 1701 2023 2133 2601 3213 4029 4131 4977 5103 6069 6399 7803 9401 9639 12087 12393 14931 18207 19197 22831 23409 28203 28917 36261 44793 54621 57591 68493 70227 84609 86751 108783 134379 159817 163863 205479 210681 253827 326349 403137 479451 491589 616437 761481 979047 1438353 1474767 1849311 2284443 4315059 5547933 6853329 12945177 16643799 38835531 116506593