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114774120 = 23325318817
BaseRepresentation
bin1101101011101…
…01000001101000
321222222010111100
412311311001220
5213340232440
615220001400
72562364266
oct665650150
9258863440
10114774120
115987254a
1232530260
131aa173a6
1411359436
15a122230
hex6d75068

114774120 has 48 divisors (see below), whose sum is σ = 373017060. Its totient is φ = 30606336.

The previous prime is 114774103. The next prime is 114774131. The reversal of 114774120 is 21477411.

It can be written as a sum of positive squares in 2 ways, for example, as 109872324 + 4901796 = 10482^2 + 2214^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 159049 + ... + 159768.

Almost surely, 2114774120 is an apocalyptic number.

114774120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114774120 is an abundant number, since it is smaller than the sum of its proper divisors (258242940).

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

114774120 is a wasteful number, since it uses less digits than its factorization.

114774120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318834 (or 318827 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 114774120 is about 10713.2684088470. The cubic root of 114774120 is about 485.9758154912.

The spelling of 114774120 in words is "one hundred fourteen million, seven hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 318817 637634 956451 1275268 1594085 1912902 2550536 2869353 3188170 3825804 4782255 5738706 6376340 7651608 9564510 11477412 12752680 14346765 19129020 22954824 28693530 38258040 57387060 114774120