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114264760 = 23531432143
BaseRepresentation
bin1101100111110…
…00101010111000
321222000020210011
412303320222320
5213222433020
615201031304
72555143261
oct663705270
9258006704
10114264760
1159554895
1232325534
131a8995ac
1411265968
15a07135a
hex6cf8ab8

114264760 has 64 divisors (see below), whose sum is σ = 271687680. Its totient is φ = 43182720.

The previous prime is 114264751. The next prime is 114264797. The reversal of 114264760 is 67462411.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52249 + ... + 54391.

It is an arithmetic number, because the mean of its divisors is an integer number (4245120).

Almost surely, 2114264760 is an apocalyptic number.

114264760 is a gapful number since it is divisible by the number (10) 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 114264760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135843840).

114264760 is an abundant number, since it is smaller than the sum of its proper divisors (157422920).

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

114264760 is a wasteful number, since it uses less digits than its factorization.

114264760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 114264760 is about 10689.4695845959. The cubic root of 114264760 is about 485.2558397955.

The spelling of 114264760 in words is "one hundred fourteen million, two hundred sixty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2143 2666 4286 5332 6665 8572 10664 10715 13330 17144 21430 26660 42860 53320 66433 85720 92149 132866 184298 265732 332165 368596 460745 531464 664330 737192 921490 1328660 1842980 2657320 2856619 3685960 5713238 11426476 14283095 22852952 28566190 57132380 114264760