Search a number
-
+
280145016 = 233231313401
BaseRepresentation
bin10000101100101…
…010110001111000
3201112010211201100
4100230222301320
51033204120031
643444251400
76641123214
oct2054526170
9645124640
10280145016
11134153108
12799a0b60
13460686a8
14292c5944
15198dade6
hex10b2ac78

280145016 has 96 divisors (see below), whose sum is σ = 787662720. Its totient is φ = 89856000.

The previous prime is 280145011. The next prime is 280145053. The reversal of 280145016 is 610541082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280145011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 698416 + ... + 698816.

It is an arithmetic number, because the mean of its divisors is an integer number (8204820).

Almost surely, 2280145016 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 280145016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393831360).

280145016 is an abundant number, since it is smaller than the sum of its proper divisors (507517704).

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

280145016 is a wasteful number, since it uses less digits than its factorization.

280145016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 280145016 is about 16737.5331515728. The cubic root of 280145016 is about 654.3261846766.

Adding to 280145016 its reverse (610541082), we get a palindrome (890686098).

The spelling of 280145016 in words is "two hundred eighty million, one hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 313 372 401 558 626 744 802 939 1116 1203 1252 1604 1878 2232 2406 2504 2817 3208 3609 3756 4812 5634 7218 7512 9624 9703 11268 12431 14436 19406 22536 24862 28872 29109 37293 38812 49724 58218 74586 77624 87327 99448 111879 116436 125513 149172 174654 223758 232872 251026 298344 349308 376539 447516 502052 698616 753078 895032 1004104 1129617 1506156 2259234 3012312 3890903 4518468 7781806 9036936 11672709 15563612 23345418 31127224 35018127 46690836 70036254 93381672 140072508 280145016