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114797736 = 2334172613
BaseRepresentation
bin1101101011110…
…10110010101000
322000000022220000
412311322302220
5213342011421
615220303000
72562523164
oct665726250
9260008800
10114797736
1159889269
1232541a60
131aa25071
1411363ca4
15a129226
hex6d7aca8

114797736 has 120 divisors (see below), whose sum is σ = 342123870. Its totient is φ = 35956224.

The previous prime is 114797729. The next prime is 114797741. The reversal of 114797736 is 637797411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 92044836 + 22752900 = 9594^2 + 4770^2 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 114797691 and 114797700.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 186966 + ... + 187578.

Almost surely, 2114797736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114797736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171061935).

114797736 is an abundant number, since it is smaller than the sum of its proper divisors (227326134).

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

114797736 is a wasteful number, since it uses less digits than its factorization.

114797736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 114797736 is about 10714.3705368071. The cubic root of 114797736 is about 486.0091447753.

The spelling of 114797736 in words is "one hundred fourteen million, seven hundred ninety-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 289 306 324 408 459 578 612 613 648 867 918 1156 1224 1226 1377 1734 1836 1839 2312 2452 2601 2754 3468 3672 3678 4904 5202 5508 5517 6936 7356 7803 10404 10421 11016 11034 14712 15606 16551 20808 20842 22068 23409 31212 31263 33102 41684 44136 46818 49653 62424 62526 66204 83368 93636 93789 99306 125052 132408 177157 187272 187578 198612 250104 281367 354314 375156 397224 531471 562734 708628 750312 844101 1062942 1125468 1417256 1594413 1688202 2125884 2250936 3188826 3376404 4251768 4783239 6377652 6752808 9566478 12755304 14349717 19132956 28699434 38265912 57398868 114797736