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114264738 = 23272513613
BaseRepresentation
bin1101100111110…
…00101010100010
321222000020202100
412303320222202
5213222432423
615201031230
72555143230
oct663705242
9258006670
10114264738
1159554875
1232325516
131a899593
1411265950
15a071343
hex6cf8aa2

114264738 has 48 divisors (see below), whose sum is σ = 284147136. Its totient is φ = 32508000.

The previous prime is 114264721. The next prime is 114264749. The reversal of 114264738 is 837462411.

114264738 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 647 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29820 + ... + 33432.

It is an arithmetic number, because the mean of its divisors is an integer number (5919732).

Almost surely, 2114264738 is an apocalyptic number.

114264738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114264738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142073568).

114264738 is an abundant number, since it is smaller than the sum of its proper divisors (169882398).

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

114264738 is a wasteful number, since it uses less digits than its factorization.

114264738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3876 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 114264738 is about 10689.4685555457. The cubic root of 114264738 is about 485.2558086525.

The spelling of 114264738 in words is "one hundred fourteen million, two hundred sixty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2259 3514 3613 4518 5271 7226 10542 10839 15813 21678 25291 31626 32517 50582 65034 75873 151746 227619 455238 906863 1813726 2720589 5441178 6348041 8161767 12696082 16323534 19044123 38088246 57132369 114264738