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114811704 = 2332734649
BaseRepresentation
bin1101101011111…
…10001100111000
322000001001001100
412311332030320
5213342433304
615220451400
72562612000
oct665761470
9260031040
10114811704
1159898807
1232549b60
131aa2b527
1411369000
15a12d439
hex6d7e338

114811704 has 96 divisors (see below), whose sum is σ = 362700000. Its totient is φ = 32796288.

The previous prime is 114811687. The next prime is 114811709. The reversal of 114811704 is 407118411.

114811704 is a `hidden beast` number, since 11 + 481 + 170 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114811709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22372 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (3778125).

Almost surely, 2114811704 is an apocalyptic number.

114811704 is a gapful number since it is divisible by the number (14) 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 114811704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181350000).

114811704 is an abundant number, since it is smaller than the sum of its proper divisors (247888296).

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

114811704 is a wasteful number, since it uses less digits than its factorization.

114811704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 114811704 is about 10715.0223518199. The cubic root of 114811704 is about 486.0288556763.

The spelling of 114811704 in words is "one hundred fourteen million, eight hundred eleven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 4649 6174 8232 9298 12348 13947 18596 24696 27894 32543 37192 41841 55788 65086 83682 97629 111576 130172 167364 195258 227801 260344 292887 334728 390516 455602 585774 683403 781032 911204 1171548 1366806 1594607 1822408 2050209 2343096 2733612 3189214 4100418 4783821 5467224 6378428 8200836 9567642 12756856 14351463 16401672 19135284 28702926 38270568 57405852 114811704