Search a number
-
+
280138120 = 23543271601
BaseRepresentation
bin10000101100101…
…001000110001000
3201112010111020221
4100230221012020
51033203404440
643444155424
76641064133
oct2054510610
9645114227
10280138120
11134148a09
1279998b74
1346065502
14292c321a
15198d8d4a
hex10b29188

280138120 has 64 divisors (see below), whose sum is σ = 648426240. Its totient is φ = 108864000.

The previous prime is 280138099. The next prime is 280138139. The reversal of 280138120 is 21831082.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465820 + ... + 466420.

It is an arithmetic number, because the mean of its divisors is an integer number (10131660).

Almost surely, 2280138120 is an apocalyptic number.

280138120 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 280138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324213120).

280138120 is an abundant number, since it is smaller than the sum of its proper divisors (368288120).

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

280138120 is a wasteful number, since it uses less digits than its factorization.

280138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 280138120 is about 16737.3271462322. The cubic root of 280138120 is about 654.3208157068.

The spelling of 280138120 in words is "two hundred eighty million, one hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 271 344 430 542 601 860 1084 1202 1355 1720 2168 2404 2710 3005 4808 5420 6010 10840 11653 12020 23306 24040 25843 46612 51686 58265 93224 103372 116530 129215 162871 206744 233060 258430 325742 466120 516860 651484 814355 1033720 1302968 1628710 3257420 6514840 7003453 14006906 28013812 35017265 56027624 70034530 140069060 280138120