Search a number
-
+
280031027800 = 235217613134359
BaseRepresentation
bin1000001001100110010…
…01100110001001011000
3222202210211210010122011
410010303021212021120
514042000420342200
6332351112435304
726142300314446
oct4046311461130
9882724703564
10280031027800
11a884023a997
12463319a8b34
13205399c8a24
14d7a7015b96
15743e5215ba
hex4133266258

280031027800 has 96 divisors (see below), whose sum is σ = 690500224800. Its totient is φ = 105250682880.

The previous prime is 280031027797. The next prime is 280031027803. The reversal of 280031027800 is 8720130082.

It is an interprime number because it is at equal distance from previous prime (280031027797) and next prime (280031027803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280031027803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017021 + ... + 2151379.

It is an arithmetic number, because the mean of its divisors is an integer number (7192710675).

Almost surely, 2280031027800 is an apocalyptic number.

280031027800 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 280031027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345250112400).

280031027800 is an abundant number, since it is smaller than the sum of its proper divisors (410469197000).

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

280031027800 is a wasteful number, since it uses less digits than its factorization.

280031027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135005 (or 134996 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 280031027800 its reverse (8720130082), we get a palindrome (288751157882).

The spelling of 280031027800 in words is "two hundred eighty billion, thirty-one million, twenty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 613 680 850 1226 1700 2452 3065 3400 4904 6130 10421 12260 15325 20842 24520 30650 41684 52105 61300 83368 104210 122600 134359 208420 260525 268718 416840 521050 537436 671795 1042100 1074872 1343590 2084200 2284103 2687180 3358975 4568206 5374360 6717950 9136412 11420515 13435900 18272824 22841030 26871800 45682060 57102575 82362067 91364120 114205150 164724134 228410300 329448268 411810335 456820600 658896536 823620670 1400155139 1647241340 2059051675 2800310278 3294482680 4118103350 5600620556 7000775695 8236206700 11201241112 14001551390 16472413400 28003102780 35003878475 56006205560 70007756950 140015513900 280031027800