Search a number
-
+
681254880 = 25351974699
BaseRepresentation
bin101000100110110…
…001111111100000
31202110220100000020
4220212301333200
52343400124010
6151333353440
722611366555
oct5046617740
91673810006
10681254880
1131a606969
12170198880
13ab1a81c7
1466698a2c
153ec1d470
hex289b1fe0

681254880 has 96 divisors (see below), whose sum is σ = 2258928000. Its totient is φ = 172104192.

The previous prime is 681254867. The next prime is 681254881. The reversal of 681254880 is 88452186.

681254880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681254881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28230 + ... + 46469.

It is an arithmetic number, because the mean of its divisors is an integer number (23530500).

Almost surely, 2681254880 is an apocalyptic number.

681254880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681254880 is an abundant number, since it is smaller than the sum of its proper divisors (1577673120).

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

681254880 is a wasteful number, since it uses less digits than its factorization.

681254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74736 (or 74728 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 681254880 is about 26100.8597559544. The cubic root of 681254880 is about 879.9065327727.

The spelling of 681254880 in words is "six hundred eighty-one million, two hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 74699 149398 224097 298796 373495 448194 597592 746990 896388 1120485 1195184 1419281 1493980 1792776 2240970 2390368 2838562 2987960 3585552 4257843 4481940 5677124 5975920 7096405 7171104 8515686 8963880 11354248 11951840 14192810 17031372 17927760 21289215 22708496 28385620 34062744 35855520 42578430 45416992 56771240 68125488 85156860 113542480 136250976 170313720 227084960 340627440 681254880