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116235405 = 3651113223
BaseRepresentation
bin1101110110110…
…01110010001101
322002201101000000
412323121302031
5214224013110
615311154513
72610661506
oct673316215
9262641000
10116235405
115a680420
1232b15a39
131b109560
1411619bad
15a3101c0
hex6ed9c8d

116235405 has 112 divisors (see below), whose sum is σ = 246790656. Its totient is φ = 51788160.

The previous prime is 116235377. The next prime is 116235437. The reversal of 116235405 is 504532611.

116235405 is a `hidden beast` number, since 116 + 2 + 3 + 540 + 5 = 666.

It is not a de Polignac number, because 116235405 - 25 = 116235373 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 521124 + ... + 521346.

It is an arithmetic number, because the mean of its divisors is an integer number (2203488).

Almost surely, 2116235405 is an apocalyptic number.

116235405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116235405 is an abundant number, since it is smaller than the sum of its proper divisors (130555251).

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

116235405 is a wasteful number, since it uses less digits than its factorization.

116235405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

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

The square root of 116235405 is about 10781.2524782606. The cubic root of 116235405 is about 488.0295783492.

The spelling of 116235405 in words is "one hundred sixteen million, two hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 223 243 297 351 405 429 495 585 669 715 729 891 1053 1115 1215 1287 1485 1755 2007 2145 2453 2673 2899 3159 3345 3645 3861 4455 5265 6021 6435 7359 8019 8697 9477 10035 11583 12265 13365 14495 15795 18063 19305 22077 26091 30105 31889 34749 36795 40095 43485 47385 54189 57915 66231 78273 90315 95667 104247 110385 130455 159445 162567 173745 198693 234819 270945 287001 331155 391365 478335 521235 596079 704457 812835 861003 993465 1174095 1435005 1788237 2113371 2583009 2980395 3522285 4305015 7749027 8941185 10566855 12915045 23247081 38745135 116235405