Search a number
-
+
2686924350 = 23252112712003
BaseRepresentation
bin1010000000100111…
…0011011000111110
320221020220220021200
42200021303120332
521000323034400
61122342040330
7123404323455
oct24011633076
96836826250
102686924350
111159776040
1262ba190a6
1333a888c86
141b6bcbb9c
1510ad50b00
hexa027363e

2686924350 has 144 divisors (see below), whose sum is σ = 7908136704. Its totient is φ = 648648000.

The previous prime is 2686924337. The next prime is 2686924393. The reversal of 2686924350 is 534296862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2686924296 and 2686924305.

It is a congruent number.

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, 1340449 + ... + 1342451.

It is an arithmetic number, because the mean of its divisors is an integer number (54917616).

Almost surely, 22686924350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686924350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954068352).

2686924350 is an abundant number, since it is smaller than the sum of its proper divisors (5221212354).

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

2686924350 is a wasteful number, since it uses less digits than its factorization.

2686924350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2686924350 is about 51835.5510243694. The cubic root of 2686924350 is about 1390.2251675324.

The spelling of 2686924350 in words is "two billion, six hundred eighty-six million, nine hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 271 275 330 450 495 542 550 813 825 990 1355 1626 1650 2003 2439 2475 2710 2981 4006 4065 4878 4950 5962 6009 6775 8130 8943 10015 12018 12195 13550 14905 17886 18027 20030 20325 22033 24390 26829 29810 30045 36054 40650 44066 44715 50075 53658 60090 60975 66099 74525 89430 90135 100150 110165 121950 132198 134145 149050 150225 180270 198297 220330 223575 268290 300450 330495 396594 447150 450675 542813 550825 660990 670725 901350 991485 1085626 1101650 1341450 1628439 1652475 1982970 2714065 3256878 3304950 4885317 4957425 5428130 5970943 8142195 9770634 9914850 11941886 13570325 16284390 17912829 24426585 27140650 29854715 35825658 40710975 48853170 53738487 59709430 81421950 89564145 107476974 122132925 149273575 179128290 244265850 268692435 298547150 447820725 537384870 895641450 1343462175 2686924350