Search a number
-
+
2569968 = 2435661
BaseRepresentation
bin1001110011011011110000
311211120100000
421303123300
51124214333
6131030000
730562422
oct11633360
94746300
102569968
1114a5945
12a3b300
136bc9bb
144ac812
1535b713
hex2736f0

2569968 has 60 divisors (see below), whose sum is σ = 7470008. Its totient is φ = 855360.

The previous prime is 2569961. The next prime is 2569969. The reversal of 2569968 is 8699652.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558 + ... + 4218.

22569968 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 2569968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735004).

2569968 is an abundant number, since it is smaller than the sum of its proper divisors (4900040).

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

2569968 is an equidigital number, since it uses as much as digits as its factorization.

2569968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2569968 is about 1603.1119736313. Note that the first 3 decimals coincide. The cubic root of 2569968 is about 136.9753982855.

The spelling of 2569968 in words is "two million, five hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 661 972 1296 1322 1944 1983 2644 3888 3966 5288 5949 7932 10576 11898 15864 17847 23796 31728 35694 47592 53541 71388 95184 107082 142776 160623 214164 285552 321246 428328 642492 856656 1284984 2569968