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116054235 = 33511312521
BaseRepresentation
bin1101110101011…
…01100011011011
322002101011111000
412322231203123
5214202213420
615303240043
72606305353
oct672554333
9262334430
10116054235
115a5672a0
1232a49023
131b074c5b
14115adb63
15a2c6690
hex6ead8db

116054235 has 64 divisors (see below), whose sum is σ = 232427520. Its totient is φ = 54432000.

The previous prime is 116054209. The next prime is 116054249. The reversal of 116054235 is 532450611.

116054235 is a `hidden beast` number, since 11 + 605 + 42 + 3 + 5 = 666.

It is not a de Polignac number, because 116054235 - 25 = 116054203 is a prime.

It is a super-2 number, since 2×1160542352 = 26937170922870450, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116054199 and 116054208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44775 + ... + 47295.

It is an arithmetic number, because the mean of its divisors is an integer number (3631680).

Almost surely, 2116054235 is an apocalyptic number.

116054235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116054235 is an abundant number, since it is smaller than the sum of its proper divisors (116373285).

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

116054235 is a wasteful number, since it uses less digits than its factorization.

116054235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 116054235 is about 10772.8471167097. The cubic root of 116054235 is about 487.7758911726.

The spelling of 116054235 in words is "one hundred sixteen million, fifty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 2521 3069 4185 5115 7563 9207 12605 15345 22689 27731 37815 46035 68067 78151 83193 113445 138655 234453 249579 340335 390755 415965 703359 748737 859661 1172265 1247895 2110077 2578983 3516795 3743685 4298305 7736949 10550385 12894915 23210847 38684745 116054235