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681170900 = 225219218869
BaseRepresentation
bin101000100110011…
…101011111010100
31202110202001210212
4220212131133110
52343334432100
6151331504552
722610566664
oct5046353724
91673661725
10681170900
1131a559863
12170158158
13ab178c07
14666761a4
153ec03635
hex2899d7d4

681170900 has 54 divisors (see below), whose sum is σ = 1560114990. Its totient is φ = 258114240.

The previous prime is 681170899. The next prime is 681170911. The reversal of 681170900 is 9071186.

It can be written as a sum of positive squares in 3 ways, for example, as 198753604 + 482417296 = 14098^2 + 21964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26666 + ... + 45534.

Almost surely, 2681170900 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 681170900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780057495).

681170900 is an abundant number, since it is smaller than the sum of its proper divisors (878944090).

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

681170900 is a wasteful number, since it uses less digits than its factorization.

681170900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18921 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 681170900 is about 26099.2509471057. The cubic root of 681170900 is about 879.8703751908.

The spelling of 681170900 in words is "six hundred eighty-one million, one hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 9025 18050 18869 36100 37738 75476 94345 188690 358511 377380 471725 717022 943450 1434044 1792555 1886900 3585110 6811709 7170220 8962775 13623418 17925550 27246836 34058545 35851100 68117090 136234180 170292725 340585450 681170900