Search a number
-
+
2807138740 = 2257131269569
BaseRepresentation
bin1010011101010001…
…1000100110110100
321020122010102102111
42213110120212310
521222111414430
61142314420404
7126364166650
oct24724304664
97218112374
102807138740
11121061397a
12664131704
13359759653
141c8b61a60
15116699c2a
hexa75189b4

2807138740 has 96 divisors (see below), whose sum is σ = 6825772800. Its totient is φ = 949877760.

The previous prime is 2807138729. The next prime is 2807138743. The reversal of 2807138740 is 478317082.

It is a junction number, because it is equal to n+sod(n) for n = 2807138693 and 2807138702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2807138743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933176 + ... + 4933744.

It is an arithmetic number, because the mean of its divisors is an integer number (71101800).

Almost surely, 22807138740 is an apocalyptic number.

2807138740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2807138740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412886400).

2807138740 is an abundant number, since it is smaller than the sum of its proper divisors (4018634060).

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

2807138740 is a wasteful number, since it uses less digits than its factorization.

2807138740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 2807138740 is about 52982.4380337485. The cubic root of 2807138740 is about 1410.6565592426.

The spelling of 2807138740 in words is "two billion, eight hundred seven million, one hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 269 524 538 569 655 917 1076 1138 1310 1345 1834 1883 2276 2620 2690 2845 3668 3766 3983 4585 5380 5690 7532 7966 9170 9415 11380 15932 18340 18830 19915 35239 37660 39830 70478 74539 79660 140956 149078 153061 176195 246673 298156 306122 352390 372695 493346 521773 612244 704780 745390 765305 986692 1043546 1071427 1233365 1490780 1530610 2087092 2142854 2466730 2608865 3061220 4285708 4933460 5217730 5357135 10435460 10714270 20050991 21428540 40101982 80203964 100254955 140356937 200509910 280713874 401019820 561427748 701784685 1403569370 2807138740