[go: up one dir, main page]

Search a number
-
+
561276160 = 2852511747
BaseRepresentation
bin100001011101000…
…110010100000000
31110010010210010221
4201131012110000
52122141314120
6131410032424
716623524434
oct4135062400
91403123127
10561276160
1126890a0a5
12137b78714
138c38ab93
14547869c4
153441e0aa
hex21746500

561276160 has 72 divisors (see below), whose sum is σ = 1350560736. Its totient is φ = 223488000.

The previous prime is 561276151. The next prime is 561276167. The reversal of 561276160 is 61672165.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561276167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320407 + ... + 322153.

It is an arithmetic number, because the mean of its divisors is an integer number (18757788).

Almost surely, 2561276160 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 561276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675280368).

561276160 is an abundant number, since it is smaller than the sum of its proper divisors (789284576).

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

561276160 is a wasteful number, since it uses less digits than its factorization.

561276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 561276160 is about 23691.2675895571. The cubic root of 561276160 is about 824.8827063121.

The spelling of 561276160 in words is "five hundred sixty-one million, two hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 640 1004 1255 1280 1747 2008 2510 3494 4016 5020 6988 8032 8735 10040 13976 16064 17470 20080 27952 32128 34940 40160 55904 64256 69880 80320 111808 139760 160640 223616 279520 321280 438497 447232 559040 876994 1118080 1753988 2192485 2236160 3507976 4384970 7015952 8769940 14031904 17539880 28063808 35079760 56127616 70159520 112255232 140319040 280638080 561276160