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114354828 = 223576
BaseRepresentation
bin1101101000011…
…10101010001100
321222011211100000
412310032222030
5213233323303
615203004300
72556000000
oct664165214
9258154300
10114354828
1159606525
1232369690
131a8cb5a3
141128a700
15a08cda3
hex6d0ea8c

114354828 has 126 divisors (see below), whose sum is σ = 349730836. Its totient is φ = 32672808.

The previous prime is 114354797. The next prime is 114354829. The reversal of 114354828 is 828453411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30720) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 114354792 and 114354801.

It is not an unprimeable number, because it can be changed into a prime (114354829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16336401 + ... + 16336407.

Almost surely, 2114354828 is an apocalyptic number.

114354828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114354828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174865418).

114354828 is an abundant number, since it is smaller than the sum of its proper divisors (235376008).

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

114354828 is an frugal number, since it uses more digits than its factorization.

114354828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 114354828 is about 10693.6816859302. The cubic root of 114354828 is about 485.3833055875.

114354828 divided by its sum of digits (36) gives a cube (3176523 = 1473).

The spelling of 114354828 in words is "one hundred fourteen million, three hundred fifty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 756 882 972 1029 1134 1323 1372 1701 1764 2058 2268 2401 2646 3087 3402 3969 4116 4802 5292 6174 6804 7203 7938 9261 9604 11907 12348 14406 15876 16807 18522 21609 23814 27783 28812 33614 37044 43218 47628 50421 55566 64827 67228 83349 86436 100842 111132 117649 129654 151263 166698 194481 201684 235298 259308 302526 333396 352947 388962 453789 470596 583443 605052 705894 777924 907578 1058841 1166886 1361367 1411788 1815156 2117682 2333772 2722734 3176523 4084101 4235364 5445468 6353046 8168202 9529569 12706092 16336404 19059138 28588707 38118276 57177414 114354828