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114180738 = 23717433719
BaseRepresentation
bin1101100111001…
…00001010000010
321221211222112020
412303210022002
5213212240423
615155142310
72554343310
oct663441202
9257758466
10114180738
11594a7751
12322a4996
131a86a289
14112430b0
15a0564e3
hex6ce4282

114180738 has 64 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 29981952.

The previous prime is 114180733. The next prime is 114180749. The reversal of 114180738 is 837081411.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114180699 and 114180708.

It is not an unprimeable number, because it can be changed into a prime (114180733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28843 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2114180738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114180738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

114180738 is an abundant number, since it is smaller than the sum of its proper divisors (168658302).

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

114180738 is a wasteful number, since it uses less digits than its factorization.

114180738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 114180738 is about 10685.5387323242. The cubic root of 114180738 is about 485.1368700044.

The spelling of 114180738 in words is "one hundred fourteen million, one hundred eighty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 1462 1806 2193 3719 4386 5117 7438 10234 11157 15351 22314 26033 30702 52066 63223 78099 126446 156198 159917 189669 319834 379338 442561 479751 885122 959502 1119419 1327683 2238838 2655366 2718589 3358257 5437178 6716514 8155767 16311534 19030123 38060246 57090369 114180738