Search a number
-
+
307687050 = 2325211611019
BaseRepresentation
bin10010010101101…
…110111010001010
3210102222010021200
4102111232322022
51112231441200
650310445030
710424203536
oct2225567212
9712863250
10307687050
11148754920
1287063776
134b98c958
142cc14bc6
151c02b800
hex1256ee8a

307687050 has 144 divisors (see below), whose sum is σ = 917485920. Its totient is φ = 73296000.

The previous prime is 307687027. The next prime is 307687069. The reversal of 307687050 is 50786703.

It is a junction number, because it is equal to n+sod(n) for n = 307686996 and 307687014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301441 + ... + 302459.

It is an arithmetic number, because the mean of its divisors is an integer number (6371430).

Almost surely, 2307687050 is an apocalyptic number.

307687050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 307687050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458742960).

307687050 is an abundant number, since it is smaller than the sum of its proper divisors (609798870).

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

307687050 is a wasteful number, since it uses less digits than its factorization.

307687050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 307687050 is about 17541.0105182113. The cubic root of 307687050 is about 675.1025358638.

The spelling of 307687050 in words is "three hundred seven million, six hundred eighty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 61 66 75 90 99 110 122 150 165 183 198 225 275 305 330 366 450 495 549 550 610 671 825 915 990 1019 1098 1342 1525 1650 1830 2013 2038 2475 2745 3050 3057 3355 4026 4575 4950 5095 5490 6039 6114 6710 9150 9171 10065 10190 11209 12078 13725 15285 16775 18342 20130 22418 25475 27450 30195 30570 33550 33627 45855 50325 50950 56045 60390 62159 67254 76425 91710 100650 100881 112090 124318 150975 152850 168135 186477 201762 229275 280225 301950 310795 336270 372954 458550 504405 559431 560450 621590 683749 840675 932385 1008810 1118862 1367498 1553975 1681350 1864770 2051247 2522025 2797155 3107950 3418745 4102494 4661925 5044050 5594310 6153741 6837490 9323850 10256235 12307482 13985775 17093725 20512470 27971550 30768705 34187450 51281175 61537410 102562350 153843525 307687050