Search a number
-
+
290747080 = 235134313003
BaseRepresentation
bin10001010101000…
…111001011001000
3202021002111000101
4101111013023020
51043412401310
644503415144
710130211061
oct2125071310
9667074011
10290747080
1113a134648
12814544b4
134830b2c0
142a885568
151a7d243a
hex115472c8

290747080 has 64 divisors (see below), whose sum is σ = 720941760. Its totient is φ = 104848128.

The previous prime is 290747077. The next prime is 290747081. The reversal of 290747080 is 80747092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290747081) 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, 15859 + ... + 28861.

It is an arithmetic number, because the mean of its divisors is an integer number (11264715).

Almost surely, 2290747080 is an apocalyptic number.

290747080 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 290747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360470880).

290747080 is an abundant number, since it is smaller than the sum of its proper divisors (430194680).

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

290747080 is a wasteful number, since it uses less digits than its factorization.

290747080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 290747080 is about 17051.3072812615. The cubic root of 290747080 is about 662.4784984122.

The spelling of 290747080 in words is "two hundred ninety million, seven hundred forty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 13003 22360 26006 52012 65015 104024 130030 169039 260060 338078 520120 559129 676156 845195 1118258 1352312 1690390 2236516 2795645 3380780 4473032 5591290 6761560 7268677 11182580 14537354 22365160 29074708 36343385 58149416 72686770 145373540 290747080