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116006553 = 3313349947
BaseRepresentation
bin1101110101000…
…01111010011001
322002021202002000
412322201322121
5214144202203
615302231213
72606016345
oct672417231
9262252060
10116006553
115a534493
1232a25509
131b059340
141159a625
15a2b74a3
hex6ea1e99

116006553 has 32 divisors (see below), whose sum is σ = 185808000. Its totient is φ = 71108928.

The previous prime is 116006543. The next prime is 116006573. The reversal of 116006553 is 355600611.

It is a happy number.

116006553 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 0 + 655 + 3 = 666.

It is not a de Polignac number, because 116006553 - 217 = 115875481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116006543) 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, 122026 + ... + 122972.

It is an arithmetic number, because the mean of its divisors is an integer number (5806500).

Almost surely, 2116006553 is an apocalyptic number.

116006553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116006553 is a deficient number, since it is larger than the sum of its proper divisors (69801447).

116006553 is a wasteful number, since it uses less digits than its factorization.

116006553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 116006553 is about 10770.6338253605. The cubic root of 116006553 is about 487.7090795477.

The spelling of 116006553 in words is "one hundred sixteen million, six thousand, five hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 349 351 947 1047 2841 3141 4537 8523 9423 12311 13611 25569 36933 40833 110799 122499 330503 332397 991509 2974527 4296539 8923581 12889617 38668851 116006553