Search a number
-
+
280130040 = 233254118979
BaseRepresentation
bin10000101100100…
…111000111111000
3201112010002011200
4100230213013320
51033203130130
643444054200
76641031441
oct2054470770
9645102150
10280130040
11134142933
1279994360
1346061928
14292c02c8
15198d6760
hex10b271f8

280130040 has 96 divisors (see below), whose sum is σ = 932677200. Its totient is φ = 72875520.

The previous prime is 280130033. The next prime is 280130099. The reversal of 280130040 is 40031082.

It is a happy number.

It is a super-4 number, since 4×2801300404 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 280129995 and 280130022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271 + ... + 24249.

Almost surely, 2280130040 is an apocalyptic number.

280130040 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 280130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466338600).

280130040 is an abundant number, since it is smaller than the sum of its proper divisors (652547160).

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

280130040 is a wasteful number, since it uses less digits than its factorization.

280130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19037 (or 19030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 280130040 is about 16737.0857678390. The cubic root of 280130040 is about 654.3145248065.

The spelling of 280130040 in words is "two hundred eighty million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 18979 37958 56937 75916 94895 113874 151832 170811 189790 227748 284685 341622 379580 455496 569370 683244 759160 778139 854055 1138740 1366488 1556278 1708110 2277480 2334417 3112556 3416220 3890695 4668834 6225112 6832440 7003251 7781390 9337668 11672085 14006502 15562780 18675336 23344170 28013004 31125560 35016255 46688340 56026008 70032510 93376680 140065020 280130040