Search a number
-
+
290944060 = 225111677919
BaseRepresentation
bin10001010101110…
…111010000111100
3202021110111012221
4101111313100330
51043440202220
644511535124
710131661261
oct2125672074
9667414187
10290944060
1113a259640
128152a4a4
1348379b64
142a8d7268
151a8209aa
hex1157743c

290944060 has 48 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 105151040.

The previous prime is 290944039. The next prime is 290944081. The reversal of 290944060 is 60449092.

It is an interprime number because it is at equal distance from previous prime (290944039) and next prime (290944081).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32781 + ... + 40699.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2290944060 is an apocalyptic number.

290944060 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 290944060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

290944060 is an abundant number, since it is smaller than the sum of its proper divisors (379658180).

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

290944060 is a wasteful number, since it uses less digits than its factorization.

290944060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 290944060 is about 17057.0823999886. The cubic root of 290944060 is about 662.6280734950.

The spelling of 290944060 in words is "two hundred ninety million, nine hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 7919 9185 15838 18370 31676 36740 39595 79190 87109 158380 174218 348436 435545 871090 1322473 1742180 2644946 5289892 6612365 13224730 14547203 26449460 29094406 58188812 72736015 145472030 290944060